PERSONAL WEBSITE OF PROF. S. PONNUSAMY 

List of Research Publications 

• ORCID: https://orcid.org/0000-0002-3699-2713

• Web of Science ResearcherID: H-7695-2017

https://publons.com/researcher/1353984/s-ponnusamy/

• Scopus: https://www.scopus.com/authid/detail.uri?authorId=6701321509 

•  Google Scholar: https://scholar.google.co.in/citations?user=u5T0rO0AAAAJ

• AMS Math Rev.: http://www.ams.org/mathscinet/search/author.html?mrauthid=259376

2023-2024: Accepted/In print 

1. S. Chen, H. Hamada, S. Ponnusamy, and R. Vijayakumar, Schwarz type lemmas and their applications in  Banach  spaces, Journal d'Analyse Math'ematique   (2023), 36 pages;  https://doi.org/10.1007/s11854-023-0293-0 

2.  M.- S. Liu, W.-J. Luo, and S. Ponnusamy, Bloch-type theorems for meromorphic harmonic mappings, Applicable Analysis, (2024), 13  pages;   

https://doi.org/10.1080/00036811.2024.2304056  

3.  Q. Zhou, and  S. Ponnusamy,  Gromov hyperbolic John is quasihyperbolic John I, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,  (2024),  19 pages;  DOI:10.2422/2036-2145.202207_006

2024

1.  L. Li, S. Ponnusamy,  and K.-J. Wirths,   An elementary counterexample to a coefficient conjecture,  Comput. Methods Funct. Theory,  

24 (2024), 229--239; https://doi.org/10.1007/s40315-023-00490-8 

2. G. Liu and  S. Ponnusamy,  The link on extraneous non-repelling cycles of Schroder's methods of the first and second kind, Journal of Mathematical Analysis and Applications   534 (2024), Article 128071, 16 pages; https://doi.org/10.1016/j.jmaa.2023.128071  

3. M.- S. Liu, and S. Ponnusamy, Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings,  Canadian 

Mathematical Bulletin 67 (1) (2024), 152--165;   http://dx.doi.org/10.4153/S0008439523000577

4. S. Ponnusamy, E. S. Shmidt and V. V. Starkov, The Bohr radius and its modifications for linearly invariant families of analytic functions, Journal of Mathematical Analysis and Applications 533  (2024), Article 128039, 9 pages ;  https://doi.org/10.1016/j.jmaa.2023.128039

5. X.-Y. Wang,  S. Ponnusamy and J.-H Fan,  Ahlfors type p-valent conditions for biharmonic functions, Journal of Mathematical Analysis and 

Applications  537 (2024), Article 128273, 20 pages;  https://doi.org/10.1016/j.jmaa.2024.128273

6. Q. Zhou,  and S. Ponnusamy,  Quasihyperbolic geodesics are cone arcs, The Journal of Geometric Analysis,   34(2)  (2024), 10 pages; 

https://doi.org/10.1007/s12220-023-01448-x

2023

1.  V. Arora, S. Ponnusamy,   S. K. Sahoo, and T. Sugawa, Successive coefficients for functions in the  spirallike family,  Bulletin des Sciences Mathématiques,  188 (2023), Art. 103323, 15 pages;   https://doi.org/10.1016/j.bulsci.2023.103323 

2. K.X. Chen, M.- S. Liu, and S. Ponnusamy, Bohr-type inequalities for unimodular bounded analytic functions,  Results in Mathematics,  

78:183  (2023), 16 pages; https://doi.org/10.1007/s00025-023-01958-8 

3. H. Deng, S. Ponnusamy, J. Qiao and Y. Tian, On Harmonic Entire Mappings II,  Monatsh. Math.  201(4)  (2023) 1059--1092;  

 https://doi.org/10.1007/s00605-023-01866-7

4. T. Guan, B. Jiao, S. Ponnusamy and Y. He, Quasisymmetry of freely quasiconformal mappings in 

Banach spaces, Journal of Mathematical  Analysis and Applications, 526 (2023), 127335; 8  pages;  

https://doi.org/10.1016/j.jmaa.2023.127335

5. Y. Huang, M.- S. Liu, and S. Ponnusamy, The Bohr-type operator on analytic functions and sections, Complex Var. Elliptic Equ., 68(2) (2023), 317--332.   https://doi.org/10.1080/17476933.2021.1990272 

6. P. Li, Y. Li, Q. Luo, and  S. Ponnusamy,   On Schwarz-Pick type inequality and Lipschitz continuity for solutions to nonhomogeneous   biharmonic equations,  Mediterr. J. Math.  (2023), 20:432, 12 pages;   https://doi.org/10.1007/s00009-023-02344-y 

7.  R.-Y. Lin, M.- S. Liu and S. Ponnusamy, The Bohr-type inequalities for holomorphic mappings with lacunary series in several complex variables, Acta Mathematica Scientia 44B(1) (2023), 63--79. https://doi.org/10.1007/s10473-023-0105-8 

8. R.-Y. Lin, M.- S. Liu and S. Ponnusamy, Generalization of Bohr-type inequality in analytic functions, Acta Mathematica Sinica, Chinese Series 66(3) (2023), 455--474   DOI: 10.12386/B20210248 

9. G. Liu, and S. Ponnusamy, Improved Bohr inequality for harmonic mappings, Mathematische Nachrichten 296(2023), 716--731.  

DOI: 10.1002/mana.202000408  

10. G. Liu,  S. Ponnusamy, and V.V. Starkov, Stable classes of harmonic mappings, Bulletin des Sciences Mathématiques, 184(2023), 103256. 

https://doi.org/10.1016/j.bulsci.2023.103256 

11. J. Liu, S. Ponnusamy and H. Xie, Complex symmetric weighted Composition-Differentiation Operators, Linear and Multilinear Algebra 71(5)(2023), 737--755.   

https://doi.org/10.1080/03081087.2022.2043816 

12. H. Xie, J. Liu and S. Ponnusamy, Volterra type operators on the minimal Moebius invariant space, Canadian Mathematical Bulletin 66(2)(2023), 509--524.  

doi:10.4153/S0008439522000376

13.  Q. Zhou, Y. He, S. Ponnusamy, and Q. Luo, Egg-Yolk principle for uniformizing Gromov hyperbolic domains, Bulletin des Sciences Mathématiques,  188(2023),  Art. 103333, 23 pages;  

https://doi.org/10.1016/j.bulsci.2023.103333

14. Q. Zhou, L. Li,  X. Li, and S. Ponnusamy, Boundary properties of Gromov hyperbolic H\"older domains, Acta Mathematica Sinica, Chinese Series.  65(4) (2023),  651--662. 

DOI: 10.12386/b20210537

15. Q. Zhou, L. Li,  S. Ponnusamy, and Y. He, Relatively quasimobius mappings in Banach spaces, Proceedings of the American Mathematical Society,  151(11) (2023),  4781--4792;  

DOI: 10.1090/proc/16495 

16. Q. Zhou and S. Ponnusamy, Gromov hyperbolicity in the free quasiworld. I, Studia Mathematica 268 (2023), 23--49;  

DOI: 10.4064/sm210825-7-3 

  2022  

1. V. Bravo, R. Hernandez, S. Ponnusamy and O. Venegas, Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings, Monatsh. Math. 199(2022), 733--754. https://doi.org/10.1007/s00605-021-01659-w

2. Sh. Chen and S. Ponnusamy, Koebe type theorems and pre-Schwarzian of K- quasiconformal harmonic mappings, and their applications, Acta Mathematica Sinica, English Series (2022),  16 pages;  https://doi.org/10.1007/s10114-022-1012-y

3. H. Deng, S. Ponnusamy, J. Qiao and Y. Shan, On harmonic entire mappings, Rev. R. Acad. Cienc. Exactas Fís Nat. Ser. A   Mat.  RCSAM (2022), 116:3, 21 pages. https://doi.org/10.1007/s13398-021-01148-7

4. T. Guan, S. Ponnusamy and Q. Zhou, A note on ∂-bilipschitz mappings in quasiconvex metric spaces, Bulletin des Sciences Mathématiques, 176 (2022),  Article 103128; 19 pages;  Available online. https://doi.org/10.1016/j.bulsci.2022.103128

5. P. Hasto and S. Ponnusamy, A proof of Hall's conjecture on length of ray images under starlike mappings of order \alpha, Annales Fennici Mathematici 47(2022), 335--349. https://doi.org/10.54330/afm.113736 

6.  I. R. Kayumov, D.M. Khammatova and S. Ponnusamy, The Bohr inequality for the generalized Cesáro averaging operators, Mediterr. J. Math. 19, 19 (2022), 16 pages;   https://doi.org/10.1007/s00009-021-01931-1 

7. L. Li, S. Ponnusamy  and K.-J. Wirths, Relations of the class U(λ) to other families of functions,   Bull. Malays. Math. Sci. Soc 45 (3) (2022), 955-972 ;    https://doi.org/10.1007/s40840-022-01265-5 

8. L. Li and  S. Ponnusamy, Rotations and convolutions of harmonic convex mappings,   Filomat 36 (11) (2022), 3845--3860;    https://doi.org/10.2298/FIL2211845L 

9.  P. Li, Q. Luo and S. Ponnusamy, Schwarz-Pick and Landau type theorems for the solutions to Dirichlet-Neumann problem in the unit disk, Comput. Methods Funct. Theory 22(2022), 95--113.  https://doi.org/10.1007/s40315-021- 00385-6 

10. P. Li, and S. Ponnusamy, Lipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations, Analysis and Mathematical Physics 12 (9) (2022), 15 pages; https://doi.org/10.1007/s13324-021-00618-w

11. P. Li and S. Ponnusamy, Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk, The Journal of Geometric Analysis 32 (170) (2022), 30 pages;  https://doi.org/10.1007/s12220-022-00902-6 

12. Y. Li, S. Ponnusamy, and Q. Zhou, Sphericalization and flattening preserve uniform domains in non-locally compact metric spaces, J. Aust. Math. Soc. 112 (2022), 68--89;   https://doi.org/10.1017 /S1446788719000582 

13. M.- S. Liu and S. Ponnusamy, Bloch and Landau type theorems for pluriharmonic mappings, International Journal of Mathematics 33(7) (2022), 2250053 (14 pages);  DOI: 10.1142/S0129167X22500537 

14. Zh. Liu and  S. Ponnusamy, On univalent log-harmonic mappings,   Filomat 36 (12) (2022), 4211--4224;    https://doi.org/10.2298/FIL2212211L 

15. X.-S. Ma, S. Ponnusamy and T. Sugawa, Harmonic spirallike and harmonic strongly starlike functions, Monatsh. Math. 199 (2022), 363--375 ;   https://doi.org/10.1007/s00605-022-01708-y

16. S. Ponnusamy, R. Vijayakumar and K.-J. Wirths, Improved Bohr's phenomenon in quasi-subordination classes, Journal of Mathematical Analysis and Applications 506 (1) 2022), 10 pages, Article 125645;   https://doi.org/10.1016/j.jmaa.2021.12564 

17. Q. Zhou,  S. Ponnusamy and T. Guan, Gromov hyperbolicity of the j_G metric and boundary correspondence, Proc. Amer. Math. Soc. 150(7) (2022), 2839--2847. https://doi.org/10.1090/proc/15635

18. Q. Zhou, X. Li, S. Ponnusamy and Y. Li, Sphericalization and flattening in quasi-metric measure spaces, Journal of Mathematical Analysis and Applications  516(1)(2022), 126496; 23  pages;  .  https://doi.org/10.1016/j.jmaa.2022.126496

2021

1. Sh. Chen, S. Ponnusamy and X. Wang, Remarks on `Norm estimates of the partial derivatives for harmonic  mappings an harmonic quasiregular mappings, The Journal of Geometric Analysis 31 (2021), 11051--11060. https://doi.org/10.1007/s12220-021-00672-7 

2. H. Deng, S. Ponnusamy, and J. Qiao, Extreme points and support points of families of harmonic Bloch mappings, Potential Analysis  55 (2021), 619--638.   https://doi.org/10.1007/s11118-020-09871-3

3. S. Evdoridis, S. Ponnusamy, and A. Rasila,  Improved Bohr's inequality for shifted disks,  Results in Mathematics (2021) 76:14,  15 pages;   https://doi.org/10.1007/s00025-020-01325-x

4. T. Guan, M. Huang, S. Ponnusamy, and X. Wang,  Coarsely bilipschitz continuity of inversions with respect to distance ratio metrics in metric spaces, Results in Mathematics  (2021), 76:50,  13 pages; https://doi.org/10.1007/s00025-021-01352-2

5.  T. Guan, M. Huang, S. Ponnusamy, and X. Wang,  Quasiisometric mappings in the distance ratio metric in Banach spaces, Monatsh. Math  195(2) (2021), 249--265.  https://doi.org/10.1007/s00605-021-01548-2

6. Y. Huang, M.- S. Liu, and S. Ponnusamy, Bohr-type inequalities for harmonic mappings with a multiple zero at the origin, Mediterr. J. Math. 18, 75 (2021),  22 pages; https://doi.org/10.1007/s00009-021-01726-4

7. A. Ismagilov,   I. Kayumov, and S. Ponnusamy, Bohr inequalities in some classes of analytic functions, (Russian) Translation in J. Math. Sci., 252(3)(2021), 360–373.   Itogi Nauki Tekh. Ser. Sovrem. Mat. Prilozh. Temat. Obz., 153, Complex analysis (Russian), 69–83, Vseross. Inst. Nauchn. i Tekhn. Inform. (VINITI), Moscow, 2018.   https://doi.org/10.1007/s10958-020-05165-6

8. I. R. Kayumov,  D.M. Khammatova, and S. Ponnusamy, Bohr--Rogosinski phenomenon for analytic functions and  Cesaro operators,   J. Math. Anal. and Appl.,  496(2) (2021),  17 pages; Article 124824.  https://doi.org/10.1016/j.jmaa.2020.124824

9. G. Liu, Z. H. Liu, and S. Ponnusamy, Refined Bohr inequality for bounded analytic functions, Bulletin des Sciences Mathématiques, 173(2021), 20 pages, Article 103054;   https://doi.org/10.1016/j.bulsci.2021.103054

10. M.- S. Liu, and S. Ponnusamy, Multidimensional analogues of refined Bohr's inequality, Proc. Amer. Math. Soc. 149(3) (2021), 2133-–2146.  https://doi.org/10.1090/proc/15371

11. Q. Luo and S. Ponnusamy, One parameter family of univalent polyharmonic mappings, Bull. Malays. Math. Sci. Soc. 44(2021), 839–856. https://doi.org/10.1007/s40840-020-00984-x

12. S. Ponnusamy  and T. Sugawa, Sharp inequalities for logarithmic coefficients and their applications,   Bulletin des Sciences Mathématiques, 166(2021), 23 pages; Article 102931;   https://doi.org/10.1016/j.bulsci.2020.102931

13. S. Ponnusamy and R. Vijayakumar, Generalized versions of Lipschitz conditions on the modulus of holomorphic functions,  C. R. Math. Acad. Sci. Paris 359(5) (2021), 609--615.  https://doi.org/10.5802/crmath.200

14.  S. Ponnusamy, R. Vijayakumar and K.-J. Wirths, Modifications of Bohr's inequality in various settings, Houston Journal of Mathematics 47(4)(2021), 807--831.

2020

1. S.A. Alkhaleefah, I R. Kayumov, and S. Ponnusamy, Bohr--Rogosinski inequalities for bounded analytic functions,  Lobachevskii Journal of Mathematics 41(11)(2020), 2110--2119. https://doi.org/10.1134/S1995080220110049

2. Sh. Chen,  and S. Ponnusamy,  On certain quasiconformal and elliptic mappings,   J. Math. Anal. and Appl.,  486(2)(2020), 16 pages; Article 123920; https://doi.org/10.1016/j.jmaa.2020.123920

3. H. Deng, S. Ponnusamy, and J. Qiao,  Properties of normal harmonic mappings,  Monatsh. Math.  193(3)(2020), 605--621.

https://doi.org/10.1007/s00605-020-01459-8

4. M. Huang, S. Ponnusamy, and J. Qiao,  Extreme points and support points of harmonic alpha-Bloch Mappings, Rocky Mountain J. Math.  50(4)(2020), 1323--1354. DOI: 10.1216/rmj.2020.50.1323

5. Y. Huang, M.- S. Liu, and S. Ponnusamy, Refined Bohr-type inequalities with area measure for bounded analytic functions, Anal. Math. Phys. 10, 50 (2020), 21 pages;   https://doi.org/10.1007/s13324-020-00393-0

6. A. Ismagilov,   I. Kayumov, and S. Ponnusamy,  Sharp Bohr type  inequality,    J. Math. Anal. and Appl., 489 (1)(2020), 10 pages; Article124147. https://doi.org/10.1016/j.jmaa.2020.124147 

7. I. R. Kayumov,  D.M. Khammatova, and S. Ponnusamy, On the Bohr inequality for the Cesaro operator,   C. R. Math. Acad. Sci. Paris  358(5)(2020), 615--620.  https://doi.org/10.5802/crmath.80

8. I. R. Kayumov, S. Ponnusamy and A. Sairam Kaliraj, Riesz-Fej\'er inequalities for harmonic functions,  Potential Analysis 52(2020), 105--113. https://doi.org/10.1007/s11118-018-9732-4

9. S.K. Lee, S. Ponnusamy and K.-J. Wirths, On classes of meromorphic locally univalent functions defined by differential inequalities,  Bulletin of the Iranian Mathematical Society   46(2020), 149--158.     https://doi.org/10.1007/s41980-019-00247-x

10. G. Liu, and S. Ponnusamy, Finite pairs of prescribed cycles of Konig's and Steffensen's methods for entire functions,  J. Comput. Appl. Math.  368(2020),  Article 112549; https://doi.org/10.1016/j.cam.2019.112549

11. M. S. Liu, S. Ponnusamy,  and J. Wang, Bohr's phenomenon for the classes of Quasi-subordination and $K$-quasiregular harmonic mappings,  Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM   114 (3) (2020), 115; 15 pages; https://doi.org/10.1007/s13398-020-00844-0

12. P. Muthukumar and S. Ponnusamy, Composition operators on Hardy spaces of the homogenous rooted trees, Monatsh. Math.   192(2020), 721--743.  https://doi.org/10.1007/s00605-020-01410-x

13. S. Ponnusamy,  N.L. Sharma and K.-J. Wirths, Logarithmic coefficients problems in families related to starlike and convex functions,  J. Aust. Math. Soc. 109(2)(2020), 230--249.  https://doi.org/10.1017/S1446788719000065

14. S. Ponnusamy, R. Vijayakumar and K.-J. Wirths, New inequalities for the coefficients of unimodular bounded functions,  Results in Mathematics (2020), 75:107, 11 pages;   https://doi.org/10.1007/s00025-020-01240-1

15. S. Ponnusamy and K.-J. Wirths, Bohr type inequalities for functions with a multiple zero at the origin, Comput. Methods Funct. Theory    20(2020), 559--570. https://doi.org/10.1007/s40315-020-00330-z

2019

1. R M. Ali, Y. Abu Muhanna, and S. Ponnusamy, The spherical metric and univalent harmonic mappings, Monatsh. Math. 188(2019), 703--716. https://doi.org/10.1007/s00605-018-1160-4

2. R. M. Ali, M. Obradovic, and S. Ponnusamy, Differential inequalities and univalent functions, Lobachevskii Journal of Mathematics 40(9)(2019), 1242--1249. DOI: 10.1134/S1995080219090038

3. S.A. Alkhaleefah, I R. Kayumov, and S. Ponnusamy, On the Bohr inequality with a fixed zero coefficient,  Proc. Amer. Math. Soc.  147(12)(2019), 5263--5274. https://doi.org/10.1090/proc/14634

4. V. Arora, S. Ponnusamy,  and S. K. Sahoo, Successive coefficients for spirallike and related functions,  Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113(4)(2019), 2969--2979.   https://doi.org/10.1007/s13398-019-00664-x

5. R. Balasubramanian, S. Ponnusamy,   and K.-J. Wirths, Inequalities for weighted sums of Mertens functions,  Archiv der Mathematik 113(3)(2019), 273--279.  https://doi.org/10.1007/s00013-019-01330-9

6. Sh. Chen,  and S. Ponnusamy,  Radial length, radial John disks and K-quasiconformal harmonic mappings,  Potential Analysis  50(2019), 415--437.  https://doi.org/10.1007/s11118-018-9688-4

7. Sh. Chen,  and S. Ponnusamy,  Schwarz's Lemmas for mappings satisfying Poisson's equation,  Indag. Math. (N.S.) , 30(2019), 1087--1098.  https://doi.org/10.1016/j.indag.2019.08.004

8. S. Evdoridis, S. Ponnusamy, and A. Rasila,  Improved Bohr's inequality for locally univalent harmonic mappings, Indag. Math. (N.S.) , 30(2019), 201--213.  https://doi.org/10.1016/j.indag.2018.09.008

9. Z. Y. Jiang, Z. Liu and  S. Ponnusamy,  Univalent harmonic mappings and lift to the minimal surfaces, Lobachevskii Journal of Mathematics 40(9)(2019), 1295--1312.  DOI: 10.1134/S1995080219090099

10. I. R. Kayumov,  and S. Ponnusamy, On a powered Bohr inequality,   Ann. Acad. Sci. Fenn.  Ser. A I Math. 44(2019), 301--310.  https://doi.org/10.5186/aasfm.2019.4416

11. I. R. Kayumov , S. Ponnusamy and L. A. Xuan, Rotations of convex harmonic univalent mappings,   Bulletin des Sciences Mathématiques, 155(2019), 1--9. https://doi.org/10.1016/j.bulsci.2019.01.007

12. L. Li and S. Ponnusamy, Note on the convolution of harmonic mappings,   Bulletin of the Australian Mathematical Society 99(2019), 421--431.  doi:10.1017/S0004972719000029

13. G. Liu and  S. Ponnusamy, Harmonic pre-Schwarzian and its applications, Bulletin des Sciences Mathématiques,  152(2019), 150--168. https://doi.org/10.1016/j.bulsci.2019.01.009

14. Z. Liu and  S. Ponnusamy,  Bohr radius for subordination and K-quasiconformal harmonic mappings,  Bull. Malays. Math. Sci. Soc. 42(2019), 2151--2618.  https://doi.org/10.1007/s40840-019-00795-9

15. S. Ponnusamy,   S. K. Sahoo, and T. Sugawa, Hornich operations on functions of bounded boundary rotations and order alpha,  Comput. Methods Funct. Theory 19(3)(2019), 455--472.  https://doi.org/10.1007/s40315-019-00276-x

2018

1. Z. Abdulhadi, Y. Abu Muhanna, and S. Ponnusamy, Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings, Mediterr. J. Math. 15(4)(2018), Art 187, 16 pages; https://doi.org/10.1007/s00009-018-1231-8

2. A. Baricz, S. Ponnusamy and S. Singh, Cross-product of Bessel functions: monotonicity patterns and functional inequalities, Proc. Indian Acad. Sci. (Math. Sci.) 128(3)(2018), Art 36, 30 pages; https://doi.org/10.1007/s12044-018-0398-z

3. Sh. Chen,  and S. Ponnusamy,  Landau's theorem for solutions of  the -equation in Dirichlet-type spaces, Bull. Aust. Math. Soc.  97(1)(2018), 80--87.   doi:10.1017/S0004972717000727

4. S. Yu. Graf, S. Ponnusamy and V. V. Starkov, Univalence criterion for harmonic mappings and Phi-like functions, Complex Var. Elliptic Equ.,  63(12)(2018), 1767--1779.  https://doi.org/10.1080/17476933.2017.1409741

5. I. R. Kayumov,  and S. Ponnusamy, Bohr's inequalities for the analytic functions with lacunary series and harmonic functions,   J. Math. Anal. and Appl.,  465(2018), 857--871.  https://doi.org/10.1016/j.jmaa.2018.05.038

6. I. R. Kayumov and S. Ponnusamy, Improved Version of Bohr's Inequality,   C. R. Math. Acad. Sci. Paris  356(3)(2018), 272--277. https://doi.org/10.1016/j.crma.2018.01.010

7. I. R. Kayumov, S. Ponnusamy and N. Shakirov,  Bohr radius for locally univalent harmonic mappings, Math. Nachr. 291(2018), 1757--1768. DOI: 10.1002/mana.201700068

8. I. R. Kayumov, S. Ponnusamy and L. A. Xuan,  On the analytic part of univalent harmonic mappings,  Complex Anal. Oper. Theory  12(5) (2018), 1291--1301.  https://doi.org/10.1007/s11785-017-0757-2

9. P. Li and  S. Ponnusamy, Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE  with respect to the distance ratio metric, Complex Anal. Oper. Theory 12(2018), 1991--2001.  https://doi.org/10.1007/s11785-017-0716-y

10. G. Liu, and S. Ponnusamy, Prescribed cycles of K\"onig's method for  polynomials,  J. Comput. Appl. Math.  336(2018), 468--476. https://doi.org/10.1016/j.cam.2017.12.023

11. G. Liu and  S. Ponnusamy, Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm, Indag. Math. (N.S.),  29(2)(2018), 752--778.  https://doi.org/10.1016/j.indag.2017.12.006

12. G. Liu and  S. Ponnusamy, On Harmonic nu-Bloch and nu-Bloch-type mappings, Results in Mathematics  73(3)(2018), Art 90, 21 pages; https://doi.org/10.1007/s00025-018-0853-2

13. Z. Liu and  S. Ponnusamy,  Radius of fully starlikeness and fully convexity of harmonic linear differential operator,  Bull. Korean Math. Soc.  55(3)(2018), 819--835.  https://doi.org/10.4134/BKMS.b170289

14. Z. Liu and  S. Ponnusamy,  Some properties of univalent log-harmonic mappings,  Filomat 32:15(2018), 5275--5288. 

https://doi.org/10.2298/FIL1815275L

15. P. Muthukumar and S. Ponnusamy, Weighted composition operators on the class of subordinate functions, Rocky Mountain Journal of Mathematics 48(6) (2018), 2055--2068.  DOI:10.1216/RMJ-2018-48-6-2055

16. P. Muthukumar, S. Ponnusamy and H. Queffelec, Estimate for norm of a composition operator on the Hardy-Dirichlet space, Integral Equations and Operator Theory 90(11) (2018), 1--12.   https://doi.org/10.1007/s00020-018-2434-x

17. M. Obradovic, S. Ponnusamy and K.-J. Wirths, Logarithmic coefficients and a coefficient conjecture of univalent functions,  Monatsh. Math.  185(3) (2018), 489--501.  https://doi.org/10.1007/s00605-017-1024-3

18. M. Obradovic, S. Ponnusamy and K.-J. Wirths, Erratum to: Logarithmic coefficients and a coefficient conjecture of univalent functions,   Monatsh. Math.  185(3) (2018),  503--506.  https://doi.org/10.1007/s00605-017-1051-0

19. S. Ponnusamy, J. Qiao, and X. Wang, Uniformly locally univalent harmonic mappings,  Proc. Indian Acad. Sci. (Math. Sci.)  128(3)(2018), Art 32, 14 pages;

20. S. Ponnusamy, A. Sairam Kaliraj, and V. V. Starkov, Coefficients of univalent harmonic mappings,  Monatsh. Math. 186 (2018), 453--470. https://doi.org/10.1007/s00605-017-1038-x

21. S. Ponnusamy,  N.L. Sharma and K.-J. Wirths, Logarithmic coefficients of the inverse of univalent functions,  Results in Mathematics  73(3)(2018), Art 160,  20 pages;  https://doi.org/10.1007/s00025-018-0921-7

22. S. Ponnusamy,  and V. V. Starkov, The Jacobian conjecture and injectivity conditions,  Bull. Malays. Math. Sci. Soc.  41(2018), 2009--2115. https://doi.org/10.1007/s40840-018-0626-9

23. S. Ponnusamy and K.-J. Wirths, Elementary considerations for classes of meromorphic univalent functions,   Lobachevskii Journal of Mathematics 39(5)(2018), 713--716.  DOI: 10.1134/S1995080218050128

24. S. Ponnusamy and K.-J. Wirths, Coefficient problems  on the class U(lambda), Probl. Anal. Issues Anal. 7 (25), No. 1, (2018), 87--103.    DOI: 10.15393/j3.art.2018.4730

2017

1. Y. Abu Muhanna, and S. Ponnusamy, Concave univalent functions and Dirichlet finite integral, Math. Nachr. 290(5-6)(2017), 649--661.

2. K. F. Amozova, E. G. Ganenkova, and S. Ponnusamy,  Criteria of univalence and fully \alpha--accessibility for p--harmonic and p--analytic functions,  Complex Var. Elliptic Equ., 62(8)(2017), 1165--1183.

3. A. Baricz, S. Ponnusamy and S. Singh, Turan type inequalities for Struve functions, J. Math. Anal. and Appl. 445(1)(2017), 971--984.

4. Sh. Chen, G. Liu, and S. Ponnusamy,  Linear measure and  K-quasiconformal  harmonic mappings, SCIENCE CHINA Mathematics (Chinese version) 47(5) (2017), 565--574.

5. Sh. Chen, M. Matelevic, S. Ponnusamy and X. Wang,  Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions and solutions to Poisson equations, Acta. Math. Sinica, Chinese Series 60(2017), 1--12.

6. Sh. Chen and S. Ponnusamy,  John disks and K-quasiconformal  harmonic mappings, The Journal of Geometric Analysis 17(2017), 1468--1488.

7. I. R. Kayumov and  S. Ponnusamy,  Bohr inequality for odd analytic functions, Comput. Methods Funct. Theory 17(2017), 679--688.

8. L. Li and S. Ponnusamy, On the generalized Zalcman functional \lambda a_n^2-a_{2n-1} in the close-to-convex family,   Proc. Amer. Math. Soc. 145(2017), 833--846.

9. P. Li and  S. Ponnusamy, Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk, J. Math. Anal. and Appl. 456(2)(2017), 1150--1175.

10. G. Liu and S. Ponnusamy, Compositions of polyharmonic mappings: In  Complex Analysis and Dynamical Systems VII,  Contemporary Mathematics (AMS) (2017), Vol.699, 209--221.

11. Z. Liu and  S. Ponnusamy,  Univalency of convolutions of univalent harmonic right half-plane mappings, Comput. Methods Funct. Theory  17(2)(2017), 289--302.

12. P. Muthukumar and S. Ponnusamy, Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees, Anal. Math. Phys.  7(2)(2017), 267--283.

13. P. Muthukumar and S. Ponnusamy, Composition operators on the discrete Hardy space on homogenous trees, Bull. Malays. Math. Sci. Soc.    40(4)(2017), 1801--1815.

14. S. Ponnusamy, and J. Qiao, Characterization of univalent harmonic mappings with integer or half-integer coefficients,  Analysis (Munich), 31(1)(2017), 23--38.

15. S. Ponnusamy, A. Sairam Kaliraj, and V. V. Starkov, Sections of univalent harmonic mappings,  Indag. Math. (N.S.),  28(2017), 527--540.

2016

1. Rosihan M. Ali, Y. Abu Muhanna, and S. Ponnusamy, On the Bohr inequality, N.K. Govil et al. (eds.), Progress in Approximation Theory and Applicable Complex Analysis, Springer Optimization and Its Applications 117(2016), 265--295.

2. Y. Abu Muhanna, and S. Ponnusamy, Extreme points method and univalent harmonic mappings: In  Complex Analysis and Dynamical Systems VI,  Contemporary Mathematics (AMS)  Vol. 667 (2016),  223--237.

3. A. Baricz, D.J. Maširević, S. Ponnusamy and S. Singh, Bounds for the product of modified Bessel functions, Aequationes Mathematicae  90(4)(2016), 859--870.

4. A. Baricz, S. Ponnusamy and S. Singh, Turán type inequalities for general Bessel functions, Mathematical Inequalities & Applications  19(2)(2016), 709--719.

5. A. Baricz, S. Ponnusamy and S. Singh, Turán type inequalities for confluent hypergeometric functions of the second kind, Studia Scientiarum Mathematicarum Hungarica   53(1)(2016), 74--92.

6. A. Baricz, S. Ponnusamy and S. Singh, Modified Dini functions: monotonicity patterns and functional inequalities, Acta Mathematica Hungarica  149(1)(2016), 120--142.

7. Sh. Chen, S. Ponnusamy, A. Rasila, and X. Wang, Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings, Acta Math. Sinica (English Series) 32(3)(2016), 297--308.

8. S. Yu. Graf, S. Ponnusamy and V. V. Starkov, Radii of covering disks for locally univalent harmonic mappings, Monatsh. Math.  180(2016), 527--548.

9. M. Huang, S. Ponnusamy, A. Rasila, and X. Wang,  On quasisymmetry of quasiconformal mappings, Advances in Mathematics 288(2016), 1069--1096.

10. L. Li and S. Ponnusamy, Injectivity of sections of convex harmonic mappings and convolution theorems,  Czechoslovak Mathematical Journal, 66(2)(2016), 331--350.

11. L. Li, S. Ponnusamy and J. Qiao, Generalized Zalcman conjecture for convex functions of order alpha,  Acta Mathematica Hungarica 150(1)(2016), 234--246.

12. M. Obradovic, S. Ponnusamy and K.-J. Wirths, Geometric studies on the class  U(lambda), Bull. Malays. Math. Sci. Soc.  39(3)(2016), 1259--1284.

13. M. Obradovic, S. Ponnusamy and K.-J. Wirths, On relations between the classes  S and  U, J. Analysis  24(2016), 83--93.

14. M. Okada, S. Ponnusamy, A. Vasudevarao, and H. Yanagihara, Circular symmetrization, subordination and Arclength problems on Convex Functions, Math. Nachr.  289(8-9)(2016), 1044--1051.

15. S. Ponnusamy, S. K. Sahoo and N. L. Sharma, Maximal area integral problem for certain class of univalent analytic functions, Mediterr. J. Math.  13(2016), 607--623.

16. S. Ponnusamy, A. Sairam Kaliraj, and V. V. Starkov, Absolutely convex,  uniformly starlike and uniformly convex harmonic mappings,  Complex Var. Elliptic Equ. 61(10)(2016), 1418--1433.

2015

1. A. Baricz, S. Ponnusamy and C. Varga, Julia's lemma  on the hyperbolic disk, Ann. Acad. Sci. Fenn.  Ser. A I Math. 40(2015), 939--948.

2. A. Baricz, T. Pogany, S. Ponnusamy and I. Rudas, Bounds for Jaeger Integrals, Journal of Mathematical Chemistry 53(2015), 1257--1273.

3. Sh. Chen, S. Ponnusamy, and A. Rasila, Lengths, areas  and Lipschitz-type spaces of planar  harmonic mappings, Nonlinear Analysis 115(15)(2015),  62--70.

4. Sh. Chen, S. Ponnusamy, and A. Rasila,  On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces, Mathematische Zeitschrift 279 (2015), 163--183.

5. Sh. Chen, S. Ponnusamy, and X. Wang, Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem,   Monatshefte fuer Mathematik 177 (1)(2015), 33--51.

6. Sh. Chen, S. Ponnusamy, and X. Wang, The univalence criteria,  Lipschitz-type spaces  on pluriharmonic mappings,   Mathematica Scandinavica 116 (2)(2015), 171--181.

7. M. Huang, Y. Li, S. Ponnusamy, and X. Wang,  The quasiconfomal subinvariance property of John domains in R^n and its applications, Mathematische Annalen 363(2015), 549--615.

8. L. Li and S. Ponnusamy, Convolutions of harmonic mappings convex in one direction, Complex Anal. Oper. Theory 9(1)(2015),  183--199.

9. L. Li and S. Ponnusamy, Sections of stable harmonic convex functions,  Nonlinear Analysis 123-124(2015), 178--190.

10. M. Obradovic and S. Ponnusamy,  Disk of univalence of the ratio of two analytic functions,  Complex Var. Elliptic Equ.  60(2)(2015), 392--404.

11. M. Obradovic, S. Ponnusamy and K.-J. Wirths, Integral means and Dirichlet integral for analytic functions, Math. Nachr.  288(2-3)(2015),  334--342.

12. S. Ponnusamy, J. K. Prajapat and A. Sairam Kaliraj, Uniformly starlike and uniformly convex harmonic mappings,  J. Analysis  23(2015),  121--129.

13. S. Ponnusamy, and J. Qiao, Classification of Univalent harmonic mappings on the unit disk with half-integer coefficients, J. Aust. Math. Soc. 98(2015), 257--280.

14. S. Ponnusamy and A. Sairam Kaliraj, Constants and characterization for certain classes of univalent harmonic mappings, Mediterr. J. Math.  12(3)(2015), 647--665.

15. S. Ponnusamy and A. Sairam Kaliraj, On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings, Proc. Indian Acad. Sci. (Math. Sci.)   125 (3)(2015), 277–290.

2014

1. Y. Abu Muhanna, S. V. Bharanedhar and S. Ponnusamy, One parameter family of univalent biharmonic Mappings, Taiwanese  J. Math. 18(4)(2014), 1151--1169.

2. Y. Abu Muhanna, L. Li, and S. Ponnusamy, Extremal problems on the class of convex functions of order -1/2, Arch. Math. (Basel), 1o3(6)(2014), 461--471.

3. S. V. Bharanedhar and S. Ponnusamy, Remarks on the univalence criterion of Pascu and Pascu, Bull. Aust. Math. Soc. 88(2014), 210--216.

4. S. V. Bharanedhar and S. Ponnusamy, Uniform close-to-convexity radius of sections of functions in the close to-convex family, J. Ramanujan Math. Soc.  29(3)(2014), 243--251.

5. S. V. Bharanedhar and S. Ponnusamy, Coefficient conditions for harmonic univalent mappings and hypergeometric mappings,  Rocky Mountain J. Math. 44(3)(2014), 753--777; see also  http://arxiv.org/abs/1109.0925

6. Sh. Chen, S. Ponnusamy, and X. Wang, The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings,  Scientia Sinica Mathematica (Chinese Version), 44(2)(2014), 127--138.

7. Sh. Chen, S. Ponnusamy, and A. Rasila,  Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings,  J. Aust. Math. Soc. 96(2)(2014), 198--215.

8. D. Kalaj and S.Ponnusamy, Polyharmonic mappings and J. C. C. Nitsche type inequalities, Glasnik Matematicki 44(69)(2014), 163--178.

9. D. Kalaj, S.Ponnusamy, and M. Vuorinen, Radius of close-to-convexity of harmonic functions, Complex Var. Elliptic Equ. 59(4) (2014), 539--552.

10. L. Li, and S. Ponnusamy, Generalized Zalcman conjecture for convex functions of order -1/2, J. Analysis  22(2014), 77--87.

11. Y. Li, S. Ponnusamy, and M. Vuorinen,  Freely quasiconformal maps and distance ratio metric,  J. Aust. Math. Soc. 97(2014), 383--390.

12. M. Obradovic and S. Ponnusamy , Univalence of quotient of  analytic functions, Appl. Math. Comput. 247(2014), 689--694.

13. M. Obradovic and S. Ponnusamy, Starlikeness of sections of univalent functions, Rocky Mountain J. Math. 44(3)(2014), 1003--1014.

14. M. Obradovic, S. Ponnusamy and K.-J. Wirths, Where is f(z)/f'(z) univalent?  J. Analysis  22(2014), 131--143.

15. S. Ponnusamy, T. Quach, and A. Rasila, Harmonic shears of slit and polygonal mappings, Appl. Math. Comput. 233(2014), 588--598.

16. S. Ponnusamy, S. K. Sahoo, and T. Sugawa, Radius problems associated with pre-Schwarzian and Schwarzian derivatives, Analysis 34(2014),  163–171.

17. S. Ponnusamy, S. K. Sahoo, and H. Yanagihara, Radius of convexity of partial sums of functions in the close-to-convex family,  Nonlinear Analysis 95(2014), 219--228.

18. S. Ponnusamy and A. Sairam Kaliraj, Univalent harmonic mappings convex in one direction, Anal. Math. Phys. 4(2014), 221-- 236.

19. S. Ponnusamy,  A. Sairam Kaliraj and A. Rasila, Harmonic close-to-convex functions and minimal surfaces, Complex Var. Elliptic Equ.  59(7)(2014), 986--1002.

20. S. Ponnusamy and K.-J. Wirths, On the problem of L.  Gromova and A. Vasil’ev on integral means, and Yamashita’s conjecture  for spirallike functions,  Ann. Acad. Sci. Fenn.  Ser. A I Math. 39(2014), 721--731.

2013

1. Rosihan M. Ali, M. Obradović, and S. Ponnusamy, Necessary and sufficient conditions for univalent functions, Complex Var. Elliptic Equ. 58(3)(2013), 611--620.

2. A.Baricz, M. Obradović, and S. Ponnusamy, The radius of univalence of the reciprocal of a product of two analytic functions, J. Analysis  21(2013), 1--19.

3. A. Baricz, and S. Ponnusamy,  On Turan type inequalities for modified Bessel functions, Proc. Amer. Math. Soc.  141(2013), 523--532.

4. A. Baricz, and S. Ponnusamy,  Differential Inequalities and Bessel Functions, J. Math. Anal. and Appl. 400(2)(2013), 558--567.

5. S. V. Bharanedhar, M. Obradovic, and S. Ponnusamy,  Coefficient criteria for univalent and close-to-convex functions, Interdisciplinary Information Sciences 19(3)(2013), 157--161.

6. Sh. Chen and  S. Ponnusamy,  Lipschitz spaces and Hardy spaces on some classes of complex valued functions,  Integral Equations and Operator Theory  77(2013), 261-278.

7. Sh. Chen, S. Ponnusamy, M. Vuorinen, and X. Wang, Lipschitz spaces and bounded mean oscillation of harmonic mappings,  Bull. Aust. Math. Soc. 88(2013), 143--157.

8. Sh. Chen, S. Ponnusamy and X. Wang, Weighted Lipschitz continuity, Schwarz-Pick's Lemma and Landau-Bloch's theorem for hyperbolic-harmonic mappings in C^n, Mathematical Modelling and Analysis 18 (1)(2013),  66--79.

9. Sh. Chen, S. Ponnusamy and X. Wang, Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings, Kodai Math. J. 36(2013), 313--324.

10. Sh. Chen, S. Ponnusamy and X. Wang, On some properties of solutions of the p-harmonic equation, Filomat 27(4)(2013), 577-591.

11. Sh. Chen, S. Ponnusamy and X. Wang, Harmonic mappings in Bergman spaces,  Monatsh. Math. 170(3-4)(2013), 325--342.

12. Sh. Chen, S. Ponnusamy, and X. Wang, Covering and distortion theorems for planar harmonic univalent mappings, Arch. Math. (Basel), 101(2013), 283--291.

13. L. Li and S. Ponnusamy, Convolutions of slanted half-plane harmonic mappings, Analysis (Munich)  33(2013), 159--176.

14. L. Li and S. Ponnusamy,  Injectivity of sections of univalent harmonic mappings,  Nonlinear Analysis 89(2013),  276--283.

15. L. Li and S. Ponnusamy, Disk of convexity of sections of univalent harmonic functions, J. Math. Anal. and Appl. 408(2013), 589--596.

16. L. Li  and S. Ponnusamy, Solution to an open problem on convolutions of harmonic mappings, Complex Var. Elliptic Equ. 58(12)(2013), 1647--1653.

17. P. Li,  S. Ponnusamy and X. Wang, Some properties of planar p-harmonic and  log p-harmonic mappings,  Bull. Malays. Math. Sci. Soc. (2)36(3)(2013), 595--609.

18. Zh. Mao, S. Ponnusamy and X. Wang, Schwarzian derivative and Landau's theorem for logharmonic mappings, Complex Var. Elliptic Equ. 58(8)(2013), 1093--1107.

19. M. Obradovic and S. Ponnusamy,  Product of univalent functions, Math. and Computer Modelling 57 (2013),  793--799.

20. M. Obradovic and S. Ponnusamy, Criteria for univalent functions in the unit disk, Arch. Math. (Basel), 100(2)(2013), 149--157.

21. M. Obradovic and S. Ponnusamy, Radius of univalence of certain class of analytic functions, Filomat  27(6) (2013), 1085–1090.

22. M. Obradovic and S. Ponnusamy, Injectivity and starlikeness of sections of a class of univalent functions,  Complex Analysis and Dynamical Systems V (Israel Mathematics Conference Proceedings (IMCP)) Published by Contemporary (AMS)  591(2013), 195--203.

23. M. Obradovic and S. Ponnusamy, Coefficient inequalities for univalent starlike functions, Math. Slovaca 63(5)(2013), 1113--1122.

24. M. Obradovic , S. Ponnusamy and K.-J. Wirths, Coefficient characterizations and sections for some univalent functions, Siberian Mathematical  Journal 54(1) (2013), 679--696..

25. M. Obradovic, S. Ponnusamy and K.-J. Wirths, A proof of Yamashita's conjecture on area integral,  Comput. Methods Funct. Theory 13(2013), 479--492.

26. S. Ponnusamy, and J. Qiao,  Polynomial approximation of certain biharmonic mappings, Nonlinear Analysis 81(2013), 149--158.

27. S. Ponnusamy, H. Yamamoto and H. Yanagihara, Variability regions for certain families of harmonic univalent mappings, Complex Var. Elliptic Equ. 58 (1)(2013), 23--34.

2012

1. Rosihan M. Ali and S. Ponnusamy, Linear functionals and the duality principle for harmonic functions, Math. Nachr. 285(13)(2012), 1565--1571.

2. Sh. Chen, S. Ponnusamy and X. Wang, Integral means and coefficient estimates on planar harmonic mappings, Ann. Acad. Sci. Fenn.  Ser. A I Math. 37(2012),  69-79.

3. Sh. Chen, S. Ponnusamy and X. Wang, Landau-Bloch constants for functions in alpha-Bloch spaces and Hardy spaces, Complex Anal. Oper. Theory 6(2012), 1025-1036.

4. Sh. Chen, S. Ponnusamy and X. Wang, Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in  B^n,  Proc. Indian Acad. Sci. (Math. Sci.) 122 (4)(2012), 583-595.

5. Jay M. Jahangiri, and S. Ponnusamy, Applications of subordination to functions with bounded boundary rotation, Arch. Math. (Basel), 98(2)(2012), 173--182.

6. M. Obradovic, and S. Ponnusamy,  On a class of univalent functions, Appl. Math. Letters 25(2012), 1373--1378.

7. M. Obradovic and S. Ponnusamy, On harmonic combination of univalent functions, Bull. Belg. Math. Soc. (Simon Stevin) 19(3)(2012), 461--472.

8. M. Obradovic,  S. Ponnusamy and N.  Tuneski, Radius of univalence of certain combination of univalent and analytic functions, Bull. Malays. Math. Sci. Soc. (2)35 (2012), 325--334.

9. S. Ponnusamy and A. Sairam Kaliraj, On harmonic close-to-convex functions, Comput. Methods Funct. Theory 12(2)(2012), 669-685.

10. K. Rauf, S. Ponnusamy, and J. O. Omolehin, On generalization of Hardy-type inequalities, The Australian Journal of Mathematical Analysis and Applications 9(1), Art.14(2012), 1--21.

2011

1. A. Baricz , S. Ponnusamy and M. Vuorinen, Functional inequalities for modified Bessel functions, Expo. Math. 29(3)(2011), 399-414.

2. B. Bhowmik, S. Ponnusamy and K.-J. Wirths, On the Fekete-Szegö problem for concave univalent functions, J. Math. Anal. and Appl. 373 (2011), 432-438.

3. Sh. Chen, S. Ponnusamy and X. Wang, Bloch and Landau's theorems for planar p-harmonic mappings, J. Math. Anal. and Appl. 373 (2011), 102--110.

4. Sh.Chen, S. Ponnusamy and X. Wang, Landau's theorem and Marden constant  for harmonic \nu-Bloch mappings, Bull. Aust. Math. Soc. 84(2011), 19-32.

5. Sh . Chen,  S. Ponnusamy and X. Wang,  On planar harmonic Lipschitz and planar harmonic hardy classes, Ann. Acad. Sci. Fenn. Ser. A I Math. 36(2011),  567-576.

6. Sh. Chen, S. Ponnusamy and X. Wang, Coefficient estimates and Landau-Bloch's theorem for planar harmonic mappings, Bull. Malaysian Math. Sciences Soc.   34(2)(2011), 255--265.

7. Sh. Chen, S. Ponnusamy and X. Wang, Properties of some classes of Planar harmonic and Planar biharmonic mappings, Complex Anal.  Oper. Theory 5(3)(2011), 901-916.

8. Sh. Chen, S. Ponnusamy and X. Wang, Laudan's Theorem for  p-harmonic mappings in several complex variables, Ann. Polon. Math. 103(2011), 67-87.

9. M. Obradović and S. Ponnusamy, A class of univalent functions defined by a differential inequality, Kodai Math. J.  34(2011), 169-–178.

10. M. Obradović and S. Ponnusamy, Partial sums and radius problem for certain class of conformal mappings, Siberian Mathematical Journal, (2011),  52(2)(2011), 291-–302.

11. S Ponnusamy, Starlikness criteria for certain class of analytic functions, Appl. Math. Lett. 24(2011), 381-386.

12. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentially convex univalent functions, Complex Anal. and Oper. Theory 5(3)2011), 955-966.

13. S. Ponnusamy and K.-J. Wirths, On two extreme point conjectures for concave functions, Russian Mathematics (Iz. VUZ), 55(12)(2011),  44--47.

2010

1. A. Baricz and S. Ponnusamy, Starlikeness and convexity of generalized Bessel functions, Integral Transforms and Special Functions 21 (9)(2010), 641–653.

2. B. Bhowmik, S. Ponnusamy and K.-J. Wirths, On some problems of James Miller , Cubo A Mathematical Journal 12 (1)(2010), 15--21.

3. B. Bhowmik, S. Ponnusamy and K.-J. Wirths, Characterization and the pre-Schwarzian norm estimate for concave univalent functions , Monatshefte für Mathematik 161 (2010), 59–75.

4. Sh. Chen, S. Ponnusamy and X. Wang, Compositions of harmonic mappings and biharmonic mappings , Bull. Belg. Math. Soc. (Simon Stevin) 17 (2010), 693–704.

5. P. Hästö, S. Ponnusamy and M. Vuorinen, Starlikeness of the Gaussian Hypergeometric Functions , Complex Var. Elliptic Equ. 55, Issue 1-3 (2010), 173–184.

6. P. Hästö, S. Ponnusamy and S.K. Sahoo, Equivalence of the Apollonian and its inner metric, International J. of Math. & Math. Sciences, Vol. 2010 (2010), Article ID 191858, 15 pages.

7. Manzi Huang, S. Ponnusamy, X. Wang, and S.K. Sahoo, The Apollonian inner metric and uniform domains, Mathematische Nachrichtten 283 (9)(2010), 1277-1290.

8. Manzi Huang, S. Ponnusamy, H. Wang and X. Wang, A consine inequality in the hyperbolic geometry, Appl. Math. Lett. 23 (8)(2010), 887–891.

9. Manzi Huang, S. Ponnusamy, and X. Wang, John disks, the Apollonian metric, and min-max properties, Proc. Indian Acad. Sci. (Math. Sci.), 120 (2010), 83–96.

10. Manzi Huang, S. Ponnusamy, and X. Wang, The quasiconvexity of quasigeodesics in real normed vector spaces , Results Math. 57 (2010), 239–256.

11. S. Ponnusamy, J. Qiao, and X. Wang, Schwarzian derivative, integral means, and the affine and linear invariant families of biharmonic mappings, Appl. Math. Comput. 216 (2010), 3468–3479.

12. S. Ponnusamy and A. Rasila, On zeros and boundary behavior of bounded harmonic functions, Analysis (Munich) 30 (2010), 199–207.

13. S. Ponnusamy and S.K. Sahoo, Pre-Schwarzian norm estimates of functions for a subclass of strongly starlike functions, Mathematica (Cluj) 52 (75), No. 1 (2010), 47–53.

14. S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Ann. Polon. Math., 99(3)(2010), 225–245.

2009

1. B. Bhowmik, S. Ponnusamy and K.-J. Wirths, Concave functions, Blaschke products and polygonal mappings, Siberian Mathematical Journal 50 (2009), No. 4, 609–615.

2. B. Bhowmik, S. Ponnusamy and K.-J. Wirths, Coefficient estimates and the convex hull problem for meromorphic functions , Mathematica (Cluj) 51 (74)(2009), No. 1, 31–38.

3. Sh. Chen, S. Ponnusamy and X. Wang, Landau's theorem for certain biharmonic mappings , Appl. Math. Comput. 208 (2009), 427–433.

4. Sh. Chen, S. Ponnusamy and X. Wang, General Approach to regions of variability via subordination of harmonic mappings , International J. of Math. & Math. Sciences, Vol. 2009 (2009), Article ID 736746, 15 pages.

5. Sh. Chen, S. Ponnusamy and X. Wang, Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings , International J. of Math. & Math. Sciences, Vol. 2009 (2009), Article ID 834215, 14 pages.

6. M. Obradović and S. Ponnusamy, Univalency and convolution results associated with Confluent Hypergeometric functions, Houston J. Math. 35 (4)(2009), 1313–1328.

7. M. Obradović and S. Ponnusamy, Coefficient characterization for certain classes of univalent functions, Bull. Belg. Math. Soc. (Simon Stevin) 16 (2009), 251-263.

8. M. Obradović and S. Ponnusamy, On certain subclasses of univalent functions and radius properties , Rev. Roumaine Math. Pures Appl., 54 (4)(2009), 317–329.

9. M. Obradović and S. Ponnusamy, Starlike and close-to-convex functions defined by differential inequalities , Appl. Math. Comput., 215 (2009), 2642–2648.

10. M. Obradović, S. Ponnusamy and P. Vasundhra, Univalence and starlikeness of nonlinear integral transform of certain class of analytic functions , Proc. Indian Acad. Sci. (Math. Sci.), 119 (5)(2009), 593–610.

11. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point , Colloquium Mathematicum 116 (2009), No.1, 31–46.

12. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities , Complex Var. Elliptic Equ. 54 (2009), No.10, 899–922.

13. S. Ponnusamy, A. Vasudevarao, and H. Yanagihara, Region of variability for close-to-convex functions-II, Appl. Math. Comput. 215(2009), 901–915.

2008

1. B. Bhowmik and S. Ponnusamy, Region of variability of concave univalent functions, Analysis (Munich) 28 (2008), 333–344.

2. B. Bhowmik and S. Ponnusamy, Coefficient inequalities for concave and meromorphically starlike univalent functions , Ann. Polon. Math. 93 (2008), 177–186.

3. B. Bhowmik, S. Ponnusamy and K.-J. Wirths , Unbounded convex polygons, Blaschke products and concave schlicht functions , Indian Journal of Mathematics 50 (2)(2008), 339–349.

4. M. Huang, S. Ponnusamy, and X. Wang , Decomposition and removable properties of John domains, Proc. Indian Acad. Sci. (Math. Sci.), 118 (3)(2008), 357–370.

5. M. Huang, X. Wang, and S. Ponnusamy, S. K. Sahoo, Uniform domains and quasi-isotropic domains, J. Math. Anal. and Appl. 343 (1)(2008), 110–126.

6. R. Parvatham, S. Ponnusamy and S.K. Sahoo, Norm estimates for Bernardi integral transforms of functions defined by subordination , Hiroshima Math. J. 38 (1)(2008), 19–29.

7. S. Ponnusamy and F. Ronning, Integral Transforms of a Class of Analytic Functions, Complex Var. Elliptic Equ. 53 (5)(2008), 423–434.

8. S. Ponnusamy and T. Sugawa, Norm estimates and univalence criteria for meromorphic functions , J. Korean Math. Soc. 45 (6)(2008), 1661–1676.

9. S. Ponnusamy and S.K. Sahoo, Norm estimates for convolution transforms of certain classes of analytic functions, J. Math. Anal. and Appl. 342 (2008), 171–180.

10. S. Ponnusamy, A. Vasudevarao, and H. Yanagihara, Region of variability of univalent functions f(z) for which z f'(z) is spirallike , Houston J. Math. 34 (4)(2008), 1037–1048.

11. S. Ponnusamy, A. Vasudevarao, and H. Yanagihara, Region of variability for close-to-convex functions, Complex Var. Elliptic Equ. 53(8)(2008), 709–716.

2007

1. R. Balasubramanian, S. Ponnusamy and D.J. Prabhakaran, On extremal problems related to integral transforms of a class of analytic functions, J. Math. Anal. and Appl. 336 (2007), 542–555.

2. R. Balasubramanian, S. Ponnusamy and D.J. Prabhakaran, Convexity of integral transforms and function spaces , Integral Transforms and Special Functions, 18 (1)(2007), 1–14.

3. B. Bhowmik, S. Ponnusamy, K.-J. Wirths, Domains of variability of Laurent coefficients and the convex hull for the family of concave univalent functions, Kodai Math. J. 30 (2007), 385–393.

4. R. Fournier and S. Ponnusamy, A class of locally univalent functions defined by a differential inequality, Complex Var. Elliptic Equ. 52 (1)(2007), 1–8.

5. P. Hästö, Z. Ibragimov, D. Minda, S. Ponnusamy and S.K. Sahoo, Isometries of some hyperbolic-type path metrics, and the hyperbolic medial axis , In the tradition of Ahlfors-Bers, IV, Ahlfors-Bers colloquium (May 19-22,2005), Contemporary Mathematics (AMS) 432 (2007), 63–74.

6. M. Obradović and S. Ponnusamy, Univalence and starlikeness of certain integral transforms defined by convolution of analytic functions, J. Math. Anal. and Appl. 336 (2007), 758–767.

7. S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, J. Math. Anal. and Appl., 332 (2)(2007), 1322–1333.

8. S. Ponnusamy and P. Vasundhra, Sufficient conditions for starlike and convex functions, Ann. Polon. Math. 90 (2007), 277–288.

9. X. Wang, Manzi Huang, S. Ponnusamy, and Yuming Chu, Hyperbolic distance, internal Apollonian metric and John disks, Ann. Acad. Sci. Fenn. Ser. A I Math. 32(2007), 371–380.

2006

1. R.W. Barnard, S. Naik, and S. Ponnusamy, Univalency of a weighted integral transform of certain functions, J. Comput. Appl. Math. 193 (2006), 638–651.

2. Peter Hästö, S. Ponnusamy and S.K. Sahoo, Inequalities and geometry for the Apollonian and related metrics, Rev. Roumaine Math. Pures Appl., 51 (4)(2006), 433–452.

3. J. Müeller, S. Naik and S. Ponnusamy, Growth of entire functions of exponential type defined by convolution, Arch. Math. (Basel), 87 (2006), 330–342.

4. M. Obradović, S. Ponnusamy, V. Singh and P. Vasundhra, Differential inequalities and criteria for starlike and univalent functions, Rocky Mountain J. Math. 36 (1)(2006), 303–318.

5. S. Ponnusamy and S.K. Sahoo, Study of some subclasses of univalent functions and their radius properties, Kodai Math. J. 29(2006), 391–405.

2005

1. M. R.Agrawal, P. Howlett, St. Lucas, S. Naik and S. Ponnusamy, Boundedness of generalized Césaro averaging operators on certain function spaces, J. Comput. Appl. Math. 180 (2005), 333–344.

2. J.H. Choi, Y.C. Kim, S. Ponnusamy and T. Sugawa, Norm estimates for the Alexander transforms of convex functions of order alpha , J. Math. Anal. and Appl., 303 (2005), 661–668.

3. W. Luh, J. Müller, S. Ponnusamy and P. Vasundhra, Polynomial series expansions for confluent and Gaussian hypergeometric functions , Math. Comp. 74 (2005), 1937–1952.

4. I. Nezhmetdinov and S. Ponnusamy, New coefficient conditions for the starlikeness of analytic functions and their applications, Houston J. Math. 31 (2005), 587–604.

5. M. Obradović and S. Ponnusamy, Radius properties for subclasses of univalent functions , Analysis (Munich) 25 (2005), 183–188.

6. M. Obradović, S. Ponnusamy and P. Vasundhra, Univalence, Strongly starlikeness and integral transforms , Ann. Polon. Math. 86 (2005), 1–13.

7. S. Ponnusamy and P. Sahoo, Geometric properties of certain linear integral transforms, Bull. Belg. Math. Soc. (Simon Stevin) 12 (2005), 95–108.

8. S. Ponnusamy and P. Sahoo, Special classes of univalent functions with missing coefficients and integral transforms, Bull. Malaysian Math. Sciences Soc., 280 (2)(2005), 141–156.

9. S. Ponnusamy and P. Vasundhra, Criteria for univalence, starlikeness and convexity, Ann. Polon. Math. 85 (2005), 121–133.

2004

1. M. Anbudurai, R. Parvatham, S. Ponnusamy and V. Singh, Convolution theorems for starlike and convex functions in the unit disc, Ann. Polon. Math. 84 (1)(2004), 27–39.

2. R. Balasubramanian, S. Ponnusamy and D.J. Prabhakaran, Duality techniques for certain integral transforms to be starlike, J. Math. Anal. and Appl. 293 (2004), 355–373.

3. R.W. Barnard, S. Naik, M. Obradović and S. Ponnusamy, Two parameter families of close-to-convex functions and convolution theorems , Analysis (Munich) 24 (2004), 71–94.

4. Y.C. Kim, S. Ponnusamy and T. Sugawa, Geometric properties of nonlinear integral transforms of certain analytic functions, Proc. Japan Acad. 80 (5)(2004), 57–61.

5. Y.C. Kim, S. Ponnusamy and T. Sugawa, Mapping properties of non-linear integral operators and pre-Schwarzian derivatives, J. Math. Anal. and Appl., 299 (2004), 433–447.

6. S. Ponnusamy, V. Singh and P. Vasundhra, Starlikeness and convexity of an integral transform, Integral Transforms and Special Functions, 15 (3)(2004), 267–280.

7. S. Ponnusamy and P. Vasundhra, Univalent functions with missing Taylor coefficients, Hokkaido Math. J. 33(2004), 341–355.

2003

1. N.V. Kalpakam and S. Ponnusamy, Convolution transform for Boehmians, Rocky Mountain J. Math. 33(4)(2003), 1353–1378.

2. I. Nezhmetdinov and S. Ponnusamy, On the univalence of an integral operators on a subclass of meromorphic convex univalent functions, Hokkaido Math. J. 32 (2)(2003), 401–413.

2002

1. M. Anbudurai, R. Parvatham, S. Ponnusamy and V. Singh, Duality for Hadamard products applied to functions satisfying certain differential inequalities, Analysis (Munich) 22 (2002), 381–391.

2. R. Balasubramanian, S. Naik, S. Ponnusamy, and M. Vuorinen, Elliott's identity and hypergeometric functions, J. Math. Anal. and Appl. 271 (1)(2002), 232–256.

3. R. Balasubramanian, S. Ponnusamy and M. Vuorinen, On hypergeometric functions and function spaces, J. Comput. Appl. Math. 139 (2) (2002), 299–322.

4. O. Martio, V.M. Miklyukov, S. Ponnusamy and M. Vuorinen, On some properties of quasiplanes, Results Math. 42 (1-2) (2002), 107–113.

5. I. Nezhmetdinov and S. Ponnusamy, On the class of univalent functions starlike with respect to N-symmetric points, Hokkaido Math. J. 31(2002), 61–77.

6. M. Obradović, S. Ponnusamy, V. Singh and P. Vasundhra, Univalency, starlikesess and convexity applied to certain classes of rational functions, Analysis (Munich) 22 (3)(2002), 225–242.

7. S. Ponnusamy and V. Singh, Criteria for univalent, starlike and convex functions, Bull. Belg. Math. Soc. 9 (4)(2002), 511–531.

2001

1. M. Obradović and S. Ponnusamy, New criteria and distortion theorems for univalent functions, Complex Variables: Theory and Appl. 43 (2001), 173–191.

2. S. Ponnusamy and M. Vuorinen, Univalence and convexity properties for Gaussian Hypergeometric functions, Rocky Mountain J. Math., 31(1)(2001), 327–353.

1999

1. S. Ponnusamy and F. Ronning , Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane, Integral Transforms and Special Functions 8 (1-2)(1999), 121–138.

2. S. Ponnusamy and F. Ronning , Integral transforms of functions with the derivative in a half plane, Israel J. of Mathematics, 144 (1999), 177–188.

3. Y. C. Kim and S. Ponnusamy, Sufficiency for Gaussian hypergeometric series to be uniformly convex, International J. of Math. & Math. Sciences, 22(4)(1999), 765–773.

1998

1. S. Ponnusamy, Inclusion theorems for convolution product of second order polylogarithms and functions with the derivative in a halfplane, Rocky Mountain J. Math. 28 (2)(1998), 695–733.

2. S. Ponnusamy, Hypergeometric transforms of functions with derivative in a half plane, J. Comput. Appl. Math. 96 (1998), 35–49.

3. S. Ponnusamy and F. Ronning, Starlikeness properties for convolutions involving hypergeometric series, Ann. Univ. Mariae Curie - Sk odowska L. II. 1 (16)(1998), 141–155.

4. S. Ponnusamy and M. Vuorinen, Univalence and convexity properties for Confluent hypergeometric functions, Complex Variables: Theory and Appl., 36 (1998), 73–97.

5. R. Balasubramanian and S. Ponnusamy, On Ramanujan' asymptotic expansions and inequalities for hypergeometric functions, Proc. Indian Acad. Sci. (Math. Sci.), (2) 108 (1998), 95–108.

6. R. Balasubramanian and S. Ponnusamy , Applications of duality principle to integral transforms of analytic functions, Complex Variables: Theory and Appl. 38 (1998), 298–305.

7. R. Balasubramanian, S. Ponnusamy and M. Vuorinen, Functional inequalities for the quotients of hypergeometric functions, J. Math. Anal. and Appl. 218(1998), 256–268.

1997

1. S. Ponnusamy, Close-to-convexity properties of Gaussian hypergeometric functions, J. Comput. Appl. Math. 88 (1997), 327–337.

2. S. Ponnusamy and F. Ronning, Duality for Hadamard products applied to certain integral transforms, Complex Variables: Theory and Appl. 32 (1997), 263–287.

3. S. Ponnusamy and S. Sabapathy, Geometric properties of generalized hypergeometric functions, The Ramanujan Journal 1 (1997), No. 2, 187–210.

4. S. Ponnusamy and V. Singh, Criteria for strongly starlike functions, Complex Variables: Theory and Appl. 34 (1997), 267–291.

5. S. Ponnusamy and M. Vuorinen, Asymptotic expansions and inequalities for hypergeometric functions, Mathematika 44(1997), 278–301.

1996

1. S. Ponnusamy, The Hardy spaces of hypergeometric functions, Complex Variables: Theory and Appl. 29 (1996), 83–96.

2. S. Ponnusamy, Univalence of Alexander transform under new mapping properties, Complex Variables: Theory and Appl. (1) 30 (1996), 55–68.

3. S. Ponnusamy, Neighborhoods and Caratheodory functions, J. Analysis 4 (1996), 41–51.

4. S. Ponnusamy, Lower bound to a problem of Mocanu on differential subordination, Tamkang J. Math. (3) 27 (1996), 209–217.

5. S. Ponnusamy and S. Sabapathy, Polylogarithms in the theory of univalent functions, Results Math. 30 (1996), 136–150.

6. S. Ponnusamy and V. Singh, Convolution properties of some classes of analytic functions, Zapiski Nauchnych Seminarov POMI 226 (1996), 138–154. (Also Transl. Journal of Mathematical Sciences 89 (1)(1998), 138–154. Plenum Publishing Corporation).

7. S. Ponnusamy and V. Singh, Univalence of certain integral transforms, Glasnik Matematiyki, (51) 31 (1996), 253–261.

8. R. Balasubramanian and S. Ponnusamy, An alternate proof of Hall's theorem on a conformal mapping inequality, Bull. Belg. Math. Soc. 3(1996), 211–215.

1995

1. S. Ponnusamy, Polya Schoenberg conjecture by Caratheodory functions, J. London Math. Soc. (2) 51 (1995), 93–104.

2. S. Ponnusamy, Differential subordination and Bazilevic functions, Proc. Ind. Acad. Sci.(Math. Sec.) (2) 105 (1995), 169–186.

3. S. Ponnusamy and S.Rajasekaran, New sufficient conditions for starlike and univalent functions, Soochow J. Math. (2) 21 (1995), 193–201.

4. Rosihan M. Ali, S. Ponnusamy and V. Singh, Starlikeness of functions satisfying a differential inequality, Ann. Polon. Math. 61 (1995), 135–140.

5. O.P. Juneja, S. Ponnusamy and S.Rajasekaran, Coefficient bounds for certain classes of analytic functions, Ann. Polon. Math. LXII. 3 (1995), 231–244.

6. O.P. Juneja, S. Ponnusamy and S.Rajasekaran, Two points distortion and rotation theorems, Glasnik Matematicki, (50) 30 (1995), 221–242.

7. R. Parvatham and S. Ponnusamy, Nonautonomous differential inequalities in the complex plane, Mathematica (Cluj), (60)37(1995), nos.1-2, 205–213.

1994

1. S. Ponnusamy, Differential subordination concerning starlike functions, Proc. Ind. Acad. Sci. (Math. Sci.) (2)104(1994), 397–411.

1993

1. S. Ponnusamy , Convolution properties of some classes of meromorphic univalent functions, Proc. Indian Acad. Sci. (Math. Sci.) (1) 103 (1993), 73–89.

2. R. Balasubramanian, V. Karunakaran and S. Ponnusamy, A proof of Hall's conjecture on starlike mappings, J. London Math. Soc. (2)48(1993), 278–288.

1992

1. S. Ponnusamy, On starlikeness of certain integral transforms, Ann. Polon. Math. LVI.3 (1992), 227–232.

2. S. Ponnusamy, Differential subordination and starlike functions, Complex Variables: Theory and Appl. 19 (1992), 185–194.

1991

1. S. Ponnusamy, Subordination properties of certain integrals, Proc. Indian Acad. Sci. (Math. Sci.), (3) 101 (1991), 219–226.

2. S. Ponnusamy, Some sufficient conditions for univalence, starlikeness and convexity, Mathematica (Cluj), no.1-2, (56)33(1991), 67–75.

1990

1. S. Ponnusamy, On a subclass of λ -spirallike functions, Mathematica (Cluj), no.1, (55) 39 (1990), 67–76.

2. S. Ponnusamy and O.P. Juneja, Some applications of first order differential subordinations, Glasnik Matematiyki, (45)25(1990), 287–296.

1989

1. S. Ponnusamy and V. Karunakaran, Differential subordination and conformal mappings, Complex Variables: Theory and Appl. 11 (1989), no.2, 72–86.

2. V. Karunakaran and S. Ponnusamy, Differential subordination and conformal mappings-I, Indian J. Pure and Appl. Math. no.6, 20(1989), 560–565.

1988

1. S. Ponnusamy, Integrals of certain n-valent functions, Ann. Univ. Mariae Curie - Sklowdswska, Vol. XLII (SECTIO A), 19 (1288), 105–113.

2. S. Ponnusamy, On Bazilevic functions, Ann. Univ. Mariae Curie - Sklowdswska, Vol.XLII (SECTIO A), 14 (1988), 115–127.

3. S. Ponnusamy and O.P. Juneja, Some applications of Briot - Bouquet differential subordinations, Ann. Univ. Mariae Curie - Sklodowska, Vol. XLII (SECTIO A), 15 (1988), 129–144.

4. F. Godula, D. Krawczyk and S. Ponnusamy, On the convexity and starlikeness of certain integrals, Zoszylk. Nauk polltech. Rzeszowskiej. Mat. Fiaz. 7(1988), 29–34.