Reviewer for

•   Zentralblatt für Mathematik
•   Mathematical Reviews
•   Lecture Notes in Mathematics
•   Springer and Birkhäuser

Main Research field

•  Complex Analysis
•  Quasiconformal and Harmonic Mappings
•  Special Functions and Function Spaces

Books Published

• S. Ponnusamy, Foundations of Complex Analysis, 1995, 464 pp;  Indian Edition: Narosa Publishing House, India.                                                 International Edition: John Wiley & Sons, International Publishers, 1995. MR96h:30001S.
  
• Ponnusamy, Foundations of Functional Analysis, 2002, 457pp.  Indian Edition: Narosa Publishing House, India.                                                                           International Edition: Alpha Science International Publishers, UK. MR1998947 (2004g:46001)
• S. Ponnusamy, Foundations of Complex Analysis, 2005, 508 pp (Second Edition of the previous book with the inclusion of six chapters), Indian Edition: Narosa Publishing House, India  
  International Edition: Alpha Science International Publishers, UK.
  
• S. Ponnusamy and H. Silverman , Complex Variables with Applications, 2006, 524 pp,   Birkhäuser, Boston.
  
• S. Ponnusamy, Foundations of Mathematical Analysis, 2011, 570 pp, Birkhäuser, Boston. 

Edited Volumes

• R. Parvatham and S. Ponnusamy (Editors), On New Trends in Geometric Function theory and Application: (The Proceedings of the International conference held at Madras), World Scientific Publishers, Singapore, 1991.
• S. Ponnusamy, T. Sugawa and M. Vuorinen (Editors), Quasiconformal Mappings and theirs Applications: Proceedings of an international workshop held at IIT Madras, India, 2005, Narosa Publishing House, Delhi, (2006), 353 pages. International Edition: Alpha Science International Publishers, UK.
• Roger W Barnard and S. Ponnusamy (Editors), Geometric Function Theory, Special functions and Their Applications: Proceedings of an international conference held at Pondicherry, India, 2006. A special volume of the Journal of Analysis (2007), 290 pages.
• St. Ruscheweyh and S. Ponnusamy (Editors), Topics in Modern Function Theory: Essays based on Mini Courses for the CMFT workshop held at Guwahati, India, Jan. 2008,  RMS Lecture Notes Series No. 19, 2013, 340 pages
• D. Minda, S. Ponnusamy and N. Shanmugalingam (Editors), Harmonic and Quasiconformal Mappings: Proceedings of the ICM2010 Satellite Conference and the International Workshop, held at Chennai, India, 2010, A special volume of the Journal of Analysis (2010), 424 pages.
  
• A. Baricz, S. Ponnusamy, M. Vuorinen, and K.-J. Wirths (Guest Editors) for Abstract Applied Analysis;  Trends in Classical Analysis, Geometric Function Theory, and Geomerty of Conformal  Invariants,   179 pages.

List of Research Publications

ORCID: http://orcid.org/0000-0002-3699-2713

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

2017-2018: Accepted/In print

 

1. S.A. Alkhaleefah, I R. Kayumov, and S. Ponnusamy, On the Bohr inequality with a fixed zero coefficient,  Proc. Amer. Math. Soc.  (2019), 12 pages; Available online. https://doi.org/10.1090/proc/14634
   
2. 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 (2019), 11 pages; Available online. https://doi.org/10.1007/s13398-019-00664-x  
3. Sh. Chen,  and S. Ponnusamy,  Schwarz's Lemmas for mappings satisfying Poisson's equation,  Indag. Math. (N.S.) , (2019), 12 pages; To appear.
4. I. R. Kayumov, S. Ponnusamy and A. Sairam Kaliraj, Riesz-Fej\'er inequalities for harmonic functions,  Potential Analysis (2018), 9 pages; Available online.  https://doi.org/10.1007/s11118-018-9732-4
5. 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   (2019), 8 pages; Available online.  https://doi.org/10.1007/s41980-019-00247-x
6. G. Liu, and S. Ponnusamy, Finite pairs of prescribed cycles of K\"{o}nig's and Steffensen's methods for entire functions,  J. Comput. Appl. Math.   (2019), 12 pages; To appear.
7. S. Ponnusamy,  N.L. Sharma and K.-J. Wirths, Logarithmic coefficients problems in families related to starlike and convex functions,  Journal of the Australian Mathematical Society (2018), 20 pages; Available online.  https://doi.org/10.1017/S1446788719000065
   

 2019

1. R M. Ali, Y. Abu Muhanna, and S. Ponnusamy, The spherical metric and univalent harmonic mappings, Monatsh. Math. 188(2019), 703--716. 
2. R. M. Ali, M. Obradovic, and S. Ponnusamy, Differential inequalities and univalent functions, Lobachevskii Journal of Mathematics 40(9)(2019), 1242--1249.
3. R. Balasubramanian, S. Ponnusamy,   and K.-J. Wirths, Inequalities for weighted sums of Mertens functions,  Archiv der Mathematik 113(3)(2019), 273--279.
4. Sh. Chen,  and S. Ponnusamy,  Radial length, radial John disks and K-quasiconformal harmonic mappings,  Potential Analysis  50(2019), 415--437.
5. S. Evdoridis, S. Ponnusamy, and A. Rasila,  Improved Bohr's inequality for locally univalent harmonic mappings, Indag. Math. (N.S.) , 30(2019), 201--213. 
   
6. 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.
7. I. R. Kayumov,  and S. Ponnusamy, On a powered Bohr inequality,   Ann. Acad. Sci. Fenn.  Ser. A I Math. 44(2019), 301--310.
8. I. R. Kayumov , S. Ponnusamy and L. A. Xuan, Rotations of convex harmonic univalent mappings,   Bulletin des Sciences Mathématiques, 155(2019), 1--9.
9. L. Li and S. Ponnusamy, Note on the convolution of harmonic mappings,   Bulletin of the Australian Mathematical Society 99(2019), 421--431.
10. G. Liu and  S. Ponnusamy, Harmonic pre-Schwarzian and its applications, Bulletin des Sciences Mathématiques,  152(2019), 150--168.
11.  Z. Liu and  S. Ponnusamy,  Bohr radius for subordination and K-quasiconformal harmonic mappings,  Bull. Malays. Math. Sci. Soc. 42(2019), 2151--2618.
12. 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.

 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; 
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; 
   
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. 
   
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.
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. 
6. I. R. Kayumov and S. Ponnusamy, Improved Version of Bohr's Inequality,   C. R. Math. Acad. Sci. Paris  356(3)(2018), 272--277. 
7. I. R. Kayumov, S. Ponnusamy and N. Shakirov,  Bohr radius for locally univalent harmonic mappings, Math. Nachr. 291(2018), 1757--1768.
   
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.
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. 
10. G. Liu, and S. Ponnusamy, Prescribed cycles of K\"onig's method for  polynomials,  J. Comput. Appl. Math.  336(2018), 468--476. 
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.
    
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;
    
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.
    
14. Z. Liu and  S. Ponnusamy,  Some properties of univalent log-harmonic mappings,  Filomat 32:15(2018), 5275--5288.
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.
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.
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.
    
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. 
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.
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;
    
22. S. Ponnusamy,  and V. V. Starkov, The Jacobian conjecture and injectivity conditions,  Bull. Malays. Math. Sci. Soc.  41(2018), 2009--2115.
23. S. Ponnusamy and K.-J. Wirths, Elementary considerations for classes of meromorphic univalent functions,   Lobachevskii Journal of Mathematics 39(5)(2018), 713--716.
    
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.

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 - Sk owdswska, 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.

Conference Proceedings

1. S. Ponnusamy, First order differential inequalities in the complex plane, Proceedings of the International conference ‘On New Trends in Geometric Function theory and Appln.', World Scientific Publishers, Singapore, 1991, 81–89; (Edited by S.Ponnusamy and R.Parvatham).
2. S. Ponnusamy and O.P. Juneja, Third order differential inequalities in the complex plane, Current topics in Analytic Function Theory, World Scientific Publishers, Singapore (Edited by H.M.Srivastava & S. Owa) (1992), 274–290.
3. S. Ponnusamy, Role of Special Functions in Function Theory, in the Proceedings of an International workshop on Special functions and differential equations, Eds.: K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe and J. Van der Jeugt, Allied Publishers (1997), 127–137.
4. J.H. Choi, Y.C. Kim, and S. Ponnusamy, Geometric properties of generalized fractional integral operator , In: Study on Applications for Fractional Calculus in Univalent Function Theory (Edited by S. Owa) (2003), 21–32.
5. S. Naik and S. Ponnusamy, Univalence of a convolution operator concerning hypergeometric functions, in the Proceedings of the International Conference on Mathematics and its applications (ICMA 2004), April 5-7, 2004; Published by the State of Kuwait, 370–374.
6. S. Ponnusamy and P. Vasundhra, Starlikeness of Nonlinear Integral Transforms, in the Proceedings of the International Conference on Geometric Function Theory, Special Functions and Applications (ICGFT 2006) (edited by R W Barnard and S Ponnusamy) January 02–05, 2006; Special issue in: Journal of Analysis 15(2007), 195–210.
   
7. SH. Chen, S. Ponnusamy and X. Wang, Recent Results on Harmonic and p-harmonic Mappings: in the Proceedings of the ICM2010 Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) (edited by D. Minda, S. Ponnusamy, and N. Shanmugalingam); Special issue in: J.  Analysis  18(2010), 99--128.
8. M. Obradovic,  and S. Ponnusamy, Univalence of the average of two analytic functions,    "60 years of analytic functions in Lublin''—in memory of our professors and friends Jan G. Krzyż, Zdzisław Lewandowski and Wojciech Szapiel, 169–183,
   Monogr. Univ. Econ. Innov. Lublin, Innovatio Press Sci. Publ. House Univ. Econ. Innov. Lublin, Lublin, 2012.
9. S. Ponnusamy, and A. Rasila, Planar harmonic and quasiregular mappings, Topics in Modern  Function Theory:
    Chapter in CMFT, RMS-Lecture Notes Series No. 19, 2013, pp. 267–333. 
10. L. Li, S. Ponnusamy, and M. Vuorinen, The minimal surfaces over the slanted half-planes, vertical strips and single slit; Chapter in ``Current Topics in Pure and Computational Complex Analysis" (2014),  47–62. (Eds. S. Joshi, M. Dorff, I. Lahri), Trends in Mathematics, Birkauser.
11. R. M. Ali, Y. Abu-Muhanna, and S. Ponnusamy, On the Bohr inequality, In ``Progress in Approximation Theory and Applicable Complex Analysis'' (Edited by N.K. Govil et al. ), Springer Optimization and Its Applications 117  (2016), 265--295.
12. A. Ismagilov, A. Kayumova, I. R. Kayumov and S. Ponnusamy, Bohr type inequalities in certain classes of analytic functions, Math. Sci (New York), (2018) (English)
13. A. Kayumova, I. R. Kayumov and S. Ponnusamy, Bohr's inequality for harmonic mappings and beyond, In: Ghosh D., Giri D., Mohapatra R., Savas E., Sakurai K., Singh L. (eds)  Mathematics and Computing. ICMC 2018. Communications in Computer and Information Science, vol 834. Springer, Singapore, pp 245-256
    
    
    

Other Publications/Notes

1. S. Ponnusamy, An invitation to Complex Analysis, pp. 103–120, in the Proceedings of the Seminar on MATHEMATICS IN THE NEW MILLENNIUM, December 22 & 23, 2000; A publication of Department of Mathematics, Anna University, Chennai (Sponsored by National Board for Higher Mathematics).
2. S. Ponnusamy and P. Vasundhra, Riemann Zeta Function-I, Ramanujan Mathematics Newsletter 15 (3)(2005), 68–72.
3. S. Ponnusamy and A. Rasila, Planar Harmonic Mappings, Ramanujan Mathematics Newsletter 17 (2)(2007), 40–57.
4. S. Ponnusamy and A. Rasila, Planar Harmonic and Quasiregular Mappings, Ramanujan Mathematics Newsletter 17 (3)(2007), 85–101.
5. S. Ponnusamy, A. Rasila, and M. Vuorinen, Special classes of Planar Harmonic Univalent Mappings, Ramanujan Mathematics Newsletter 19 (1)(2009), 17–27.
6. S. Ponnusamy and A. Rasila, On Harmonic and Quasiregular Mappings, Ramanujan Mathematics Newsletter 21 (3)(2011), 87–103.

Collaborators include

• Árpád Baricz

• Milutin Obradovic
  

• Matti Vuorinen

• K.-J. Wirths
• Xiantao Wang
• Shaolin Chen
• Liulan Li
  
• Yaxiang Li
• Manzi Huang
• Peijin Li
• Jinjing Qia
  
• Victor Starkov
• Ilgiz kayumov
• 
  

Former Ph.D Students include

• P. Vasundhra (Currently at DRDO)
  
• Sunanda Naik (Gauhati University)
  
• Swadesh Kumar Sahoo (Currently a faculty at IIT Indore)
  
• D. Bhowmik (Currently a faculty at IIT Kharagupur)
• Allu Vasudeva Rao (Currently a faculty at IIT Kharagupur)
• S. V. Bharanedhar
• A. Sairam Kaliraj (Currently at IIT Roper)
  
• Sanjeev Singh (Currently at IIT Indore)
  

 Former Visiting Faculties and collaborators include 

• Matti Vurorinen (University of Turku, Finland)
• Antti Rasila (Aalto University)
• Peter Hasto (University of Oulu)
• Toshi Sugawa (Tohoku University)
  
• Xiantao Wang (Hunan Normal University)
  
• Arpad Baricz (Babes-Bolyai University)
  
• Frode Ronning (Norwegian University of Science and Technology)
• Hiroshi Yanagihara (Yamaguchi University)
  
• Miodrag Mateljevic (Belgrade University)
• I. Nezhmetdinov (Kazan State University)
• Roger W Barnard (Texas Tech University)
• Yusuf Abu Muhanna (American University of Sharjah)
• Victor V Starkov
• Yu Graf Sergy
• Peijin Li
• Gong Liu
• Zhihong Liu
• Pravati Sahoo
• ManZi Huang
• Manju Rani Agrawal
  
• SL Chen
• Liulan Li
• Yaxiang Li
  
• Jinjing Qiao

Proceedings of ICM2010 Satellite conference organized by S. Ponnusamy: