Welcome to the personal website of Prof. S. Ponnusamy, ISI Chennai





 

Prof. S. Ponnusamy, F. N. A. Sc.
Head, Indian Statistical Institute (ISI), Chennai Centre
SETS (Society for Electronic Transactions and Security)
MGR Knowledge City, CIT Campus, Taramani,
Chennai, 600 113

E-mail:    samy(at)isichennai.res.in

Also, Guest Professor of Hengyang Normal University, China.



Education
  • Doctor of  Philosophy (Mathematics)  IIT Kanpur (1983-1989), 1989
  • Master of  Science (Mathematics) University of  Madras, India, 1982
  • Bachelor of  Education (Mathematics) University of  Madras, India, 1983
Academic Prizes/Appreciation
  • School First in S.S.L.C (1976 Secondary School Leaving Certificate) exam
  • First mark in Mathematics in the College in P.U.C (1977, Pre University Course) exam 
  • Special prizes for the first rank in Mathematics  during the course of  B.Sc. (Bachelor of Science), 1977-1980.
Awards and Recognition
  • “Best Selling Author Award, 2002" for the book entitled “Foundations of Complex Analysis, 1995, 464 pp”
  • “C.L. Chandana Mathematics Award” by the Canadian World Education Foundation 2002 in recognition of distinguished and outstanding contribution to Mathematics Research and Teaching in India.
  • “Tamilnadu Scientist Award (TANSA)-2003” in recognition of outstanding research, teaching and popularization of mathematical sciences in the state of Tamilnadu, India.
  • Elected the “Fellow of The National Academy of Sciences, India, in the year 2005.
  • Appointed as “Senior Associate” of The Abdus Salam International Centre for Theoretical Physics (1 Jan.2008 until 31 Dec. 2013)
  • Awarded a “TWAS-UNESCO Associateship” appointment (for the period of three years, 2009-2011) by TWAS-UNESCO Associateship scheme at Centers of Excellence in the South
  • Founding “Fellow of the Forum de Analystes" , Chennai, India, 1992
  • Elected as a Vice-President of the “Fellow of the Forum de Analystes", Chennai, India, 2007
  • Elected as a Vice-President of the “Indian Academy of Mathematics", Indore (2006 onwards)

  Some of Experiences in Higher Education

  • Collaborative research with  V.V. Starkov,  Petrozavodsk State University, Russia, June 24 -- July 7,  2016
  • Collaborative research with  V.V. Starkov,  Petrozavodsk State University, Russia, October 3-24, 2015
  • Collaborative research with  A. Baricz,  Romania, Aug. 28--Sep. 12, 2015
  • Collaborative research with  A. Baricz,  Romania, September 1-15, 2014
  • Collaborative research with  V.V. Starkov, Petrozavodsk State University, Russia, June 23-July 7, 2014
  • Visiting Professor, Israel Institute of Technology, Israel,  May 3-19, 2014
  • Visiting Professor,  Hengyang Normal University, China, May 31--June 15, 2013
  • Visiting Professor, Universiti Sains Malaysia, Malaysia,  December 2012-January 2013
  • Visiting Professor, Tohoku University and Yamaguchi University,  October, 2012
  • Visiting Professor, University of Aalto, Finland, November-December, 2011
  • Visiting Professor, University of Turku, Finland, July-October 2011
  • Visiting Professor, University Sains Malaysia, Jan 2011-July 2011
  • Visiting Professor, Hunan Normal University, Chansha, China, June 2010
  • Visiting Professor, University of Lille, France, March 2010
  • Visiting Professor, University of Turku, Finland, April. 2009-June. 09
  • Visiting Fellow, University of Turku, Finland, Aug. 2007-Nov. 07
  • Visiting Professor, University of Turku, Finland, May 2005-July 05
  • Visiting Professor, Sultan Qaboor University, Oman, Dec. 2004
  • Visiting Professor, University of Trier, Germany October 2004
  • Visiting Professor, University of Turku, Finland, June 2004-July 04
  • Visiting Associate Professor, Texas Tech Univ., USA, Àug. 2002-May 03
  • University of Trier, Germany -Visiting Professor, June 2002
  • Univ. of Kaiserslautern, Germany, -Visiting Fellow, May-July, 2001
  • Univ. of Helsinki, Finland, -Visiting Fellow, April-May, 2001
  • Univ. of South Australia, Australia, -Visiting Professor, Àpril.-July 2000
  • Special invited lectures at Univ. of New South Wales, Australia, June 2000 
  • Special invited lectures at Univ. of Sydney, Australia, June 2000
  • Univ. of Helsinki, Finland, -Visiting Fellow, Jan.-Feb. 2000
  • Univ. of Helsinki, Finland, -Visiting Fellow, Oct.-Nov. 1997, May-July, 98
  • Univ. of Joensuu, Finland, -Visiting Fellow, July-Aug. 95 Nov. 97
  • Norwegian Inst. of Tech., Trondheim, Norway, -Visiting Prof., May 95
  • Russian Acad. of Sciences, St.Petersburg Univ., Russia, -Visiting Prof., April 95
  • Univ. M.Curie Sklod., Lublin, Poland, - Visiting Fellow, April 95
  • Finnish Acad. of Sciences, Finland, -Visiting Fellow, Sep. 95 - July 96
  • Univ. of Helsinki, Finland, -Fellowship from CIMO (Center of International Mobility), Ministry of Education, Finland,  Aug. 94 - Aug. 95
  • Inst. of Math. Sciences, Madras, India, -Visiting Scientist, June 94 - July 94, Sep. 95 - Oct. 95, May 97 - June. 97, Feb. 98
  • National Board for Higher Mathematics-Postdoctoral Fellow (Dept. of Atomic Energy, India.), Mar. 91 - Feb. 94
  • SPIC Science Foundation, Madras, India, -Visiting Fellow, July 90 - Feb. 91
Invited Talks at Important Conferences/Workshops:
  • Plenary talks at the `VIII Petrozavodsk International Conference, on Complex Analysis and Applications’ held at Petrozavodsk (Russia), July 3-9, 2016
  • Plenary talk at the `XII International Kazan Summer School-Conference "Theory of Functions, its applications and related matters" (Russia), June 27 to July 4, 2015
  • Plenary talk at the `VII Petrozavodsk International Conference, on Complex Analysis and Applications’ held at Petrozavodsk (Russia), July 2014
  • Invited talk at the one day workshop, Hengyang Normal University  on "Harmonic Mappings in the Plane", 2013.
  • Invited talk at the 7-th International conference on Computational Methods and  Function theory (CMFT'13) at University of Shantou, China
  • Invited talk at the International Conference in Tokyo Institute of Technology, October, 2012
  • Invited talk at the national conference in Yamaguchi University and a colloquium talk at Yamaguchi University, October-Nov. 2012
  • Mini course  on "Harmonic Mappings" was offered at the University of Aalto, Finland, November-December 2011
  • Seminar talks at the University of Turku, Finalnd, July-October 2011
  • Invited talk at Universiti Kebangsaan Malaysia (UKM), Kula Lumpur, June  2011
  • Invited talk at the Chinese National Conference on Complex Analysis 2010 at Huzhou Teachers College, China, June 12-16, 2010
  • Invited talk at the 12-th Romanian-Finnish Seminar and International Conference in Complex Analysis and Related Topics held in Turku, August 17-21, 2009
  • Invited talk at the “Lars Ahlfors Centennial Celebration,” August 20-24, 2007, University of Helsinki, Finland
  • Invited talk at the “International conference CMFT' 2005 (Computational Methods and Function Theory) held in Joensuu (Finland), June 2005
  • Keynote speaker at the “First SQU on Topology and its application”, at Sultan Qaboor University, Oman, Dec. 2004
  • Invited talk at the “International conference CMFT' 2001 (Computational Methods and Function Theory) held in Aveiro (Portugal), June 2001
  • Invited talk at the “ICCAM 98-International congress on Computational and Applied Mathematics held in Leuven, Belgium, July 27-Aug. 1, 98
  • Invited talk at the “International conference CMFT' 97 (Computational Methods and Function Theory) held in Nicosia (Cyprus), Oct. 97
  • Invited talk at the International work shop on “Special functions and Differential equations” held at The Institute of Mathematical Sciences, Madras (India), Jan. 97
  • Participated in the workshop on “CONFORMAL GEOMETRY” held at the Dept. of Maths., NTNU, Trondheim (Norway), and delivered an invited talk, May 96
  • Participated in the International “WORKSHOP ON HARMONIC MAPPINGS” held at the Dept. of Maths., Israel Institute of Technology, Haifa (Israel), and delivered a one hour invited talk, May 95
  • Invited talk at an International Conference at Univ. Saints, Penang (Malaysia), March 94
  • Invited talk at an International Conference at Madras on “On New Trends in Geometric Function theory and Application”, Madras (India) July 91
Invited Talks at other  meetings:
  • Seminar talk  at ORT Braude College, Karmiel,  Israel,  May 12, 2014
  • Colloquium talk at the "Nonlinear Analysis and Optimization Seminar"  at the Israel Institute of Technology, Haifa,  May  2014 
  • Seminar talks at the Petrozavodsk State University, Russia, June-July 2014
  • Colloquium talk at the University Groningen, Netherlands, Sep.14 --19, 2013
  • Colloquium Talk in Tohoku University, October, 2012
  • Seminar talks at University of Helsinki, Finland, December 05,2011
  • Seminar talks at Hunan Normal University, Chansha, China,  June 2010
  • Seminar talks at University of Lille, France,  March 2010
  • Seminar talks at University of Helsinki, April. 2009
  • Seminar talks at University of Turkuay-June. 2009
  • Invited Seminar talk at Univ. of Helsinki, Finland, Sept. 07
  • Invited Seminar talk at the University of Würzburg, Germany, Oct. 04
  • Invited Seminar talk at the University of Trier, Germany, July 01
  • Invited Seminar talk at the University of Trier, Germany, July 01
  • Invited Seminar talk at the University of Kassel, Germany,  June 01
  • Invited Seminar talk at the University of Würzburg, Germany, July 01
  • Invited Seminar talk at the University of New South Wales, Australia, June 00
  • Invited Seminar talk at the University of Sydney, Australia, June 00
  • Invited Seminar talks at the University of South Australia, Australia, June 00
  • Series of invited talks at Yeungnam University (Korea), July 96
  • Series of talks in the Analysis Seminar at the Univ. of Helsinki (Finland), Aug. 94-July 96
  • Invited research level talk at the  Norwegian Institute of Technology, Trondheim (Norway), May 95
  • Invited talk at St. Petersburg University, Russia, April 95
  • Invited Research level talks at three universities in Poland, April 95
Editorial Work
  • Editor in Chief of  “Mathematics Newsletter” (sponsored by NBHM)  
  • Managing Editor of  “The Journal of Analysis” (Published by Forum D'Analystes)
  • Associate Editor of  “Bulletin of the Malaysian Mathematical Sciences Society”
  • Editorial Member of  “Journal of Indian Academy of Mathematics
  • Editorial Member of  “Journal of Applied Mathematical Analysis”
  • Editorial Member of Mathematical Analysis (The Scientific World Journal, Hindawi)
  • Editorial Member of Conference Papers in Mathematics (Hindawi)
  • Editorial Member of Journal of Classical Analysis
  • Editorial Member of  Issues in  Analysis
  • Official Referee for “Journal of Inequalities in Pure and Applied Mathematics”
Refereeing work for several journals, including:

1. Abstract and Applied Analysis
2. Acta Applicanda Mathematicae
3. Acta Mathematica Scientia
4. Annales Academiae Scientiarum Fennicae (Mathematica)
5. Annales Mathematiques Blaise Pascal (AMBP)
6. Applied Mathematics and Computation
7. Applicable Analysis
8. Applied Mathematics Letters
9. Arab Journal of Mathematical Sciences
10. Australian Journal of Mathematical Analysis and Applications
11. Bulletin of the Australian Mathematical Society
12. Bulletin of the Belgian Mathematical Society - Simon Stevin
13. Bulletin of the Iranian Mathematical Society
14. Bulletin of the Korean Mathematical Society
15. Bulletin of Malaysian Mathematical Society
16. Bulletin of Mathematical Analysis and Applications
17. Bulletin of Pure and Applied Mathematics (BPAM)
18. Complex Analysis and Operator Theory
19.Complex Variables and Elliptic Equations
20. Computers and Mathematics with Applications
21. Filomat
22. Houston Journal of Mathematics
23. Hacettepe Journal of Mathematics and Statistics
24. Indian Journal of Pure and Applied  Mathematics
25. International Journal of Differential Equations
26. International Journal of Mathematics
27. International Journal of Mathematics and Mathematical Sciences
28. Journal of Analysis
29. Journal of Applied Mathematical Analysis
30. Journal of Approximation Theory
31. Journal of Classical Analysis
32. Journal of Computational and Applied Mathematics
33. Journal of the Franklin Institute
34. Journal of Inequalities in Pure and Applied Mathematics
35. Journal of Indian Mathematical Society
36. Journal Interdisciplinary Information Sciences
37. Journal of Mathematical Analysis and Applications
38. Journal of the Ramanujan Mathematical Society
39. Kodai Mathematical Journal
40. Mathematical and Computer Modelling
41. Mathematical Inequalities & Applications
42. Mathematica Slovaca
43. Mathematics Student, a Journal from Indian Mathematical Society
44. Matematicki Vesnik
45. Mathematische Nachrighten
46. Michigan Mathematical Journal
47. Monatshefte fuer Mathematik
48. Numerical Algorithms
49. Pacific Journal of Mathematics
50. Proceedings of American Mathematical Society
51. Proceedings of the Edinburgh Mathematical Society
52. Proceedings of the Indian Academy of Sciences
53. Publicationes Mathematicae Debrecen
54. Rendiconti del Circolo Matematico Palermo
55. Rocky Mountain Journal of Mathematics
56. Sarajevo Journal of Mathematics
57. Siam Journal of Mathematical Analysis
58. SINET: Ethiopian Journal of Science
59. Soochow Journal of Mathematics
60. The Royal Society of Edinburgh: Proceedings A
61. Turkish Journal of Mathematics

 
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

2016-2017: Accepted/In print

     
    1. A. Baricz, S. Ponnusamy and S. Singh, Cross-product of Bessel functions: monotonicity patterns and functional inequalities, Proc. Indian Acad. Sci. (Math. Sci.) (2016), 19 pages, To appear.
    2. Sh. Chen, G. Liu, and S. Ponnusamy,  Linear measure and  K-quasiconformal  harmonic mappings, SCIENCE CHINA Mathematics (Chinese version) (2016), 12 pages, To appear.
    3. Sh. Chen,  and S. Ponnusamy,  Landau's theorem for solutions of  the -equation in Dirichlet-type spaces, Bull. Aust. Math. Soc. (2017), 9 pages; To appear.
    4. I. Kayumov and  S. Ponnusamy,  Bohr inequality for odd analytic functions, Comput. Methods Funct. Theory (2017), 9 pages; To appear.
    5. G. Liu and S. Ponnusamy, Compositions of polyharmonic mappings: In  Complex Analysis and Dynamical Systems VII,  Contemporary Mathematics (AMS) (2017), 13 pages; To appear.
    6. P. Muthukumar and S. Ponnusamy, Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees, Anal. Math. Phys.  (2016), 17 pages, Available online.
    7. P. Muthukumar and S. Ponnusamy, Composition operators on the discrete Hardy space on homogenous trees, Bull. Malays. Math. Sci. Soc.   (2016), 15 pages, Available online.
    8. M. Obradovic, S. Ponnusamy and K.-J. Wirths, On relations between the classes  S and  U, J. Analysis (2016), 11 pages, Available online.
    9. M. Obradovic, S. Ponnusamy and K.-J. Wirths,, Logarithmic coefficients and a coefficient conjecture of univalent functions,   Monatshefte fuer Mathematik (2017), 13 pages; Available online.
    10. S. Ponnusamy, J. Qiao, and X. Wang, Uniformly locally univalent harmonic mappings,  Proc. Indian Acad. Sci. (Math. Sci.)  (2016), 15 pages, To appear.
    11. S. Ponnusamy, A. Sairam Kaliraj, and V. V. Starkov, Coefficients of univalent harmonic mappings Monatshefte fuer Mathematik (2017), 16 pages;
    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, 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.
    5. Sh. Chen and S. Ponnusamy,  John disks and K-quasiconformal  harmonic mappings, The Journal of Geometric Analysis 17(2017), 1468--1488.
    6. 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.
    7. Z. Liu and  S. Ponnusamy,  Univalency of convolutions of univalent harmonic right half-plane mappings, Comput. Methods Funct. Theory  17(2)(2017), 289--302.
    8. S. Ponnusamy, and J. Qiao, Characterization of univalent harmonic mappings with integer or half-integer coefficients,  Analysis (Munich), 31(1)(2017), 23--38.
    9. S. Ponnusamy, A. Sairam Kaliraj, and V. V. Starkov, Sections of univalent harmonic mappings Indagationes Mathematicae,  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, Monatshefte fuer Mathematik  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 alphaActa 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. 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.
    14. 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.
    15. 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 functionsIntegral 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,  Monatshefte fuer Mathematik 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 properites 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 functionsComplex 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, Mathematische Nachrichtten 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. 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.
      2. N. V. Kalpakam and S. Ponnusamy, Convolution transform for Boehmians, Rocky Mountain J. Math. 33(4)(2003), 1353–1378.

      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. S. Ponnusamy and V. Singh, Criteria for univalent, starlike and convex functions, Bull. Belg. Math. Soc. 9 (4)(2002), 511–531.
      3. 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.
      4. 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.
      5. O. Martio, V.M. Miklyukov, S. Ponnusamy and M. Vuorinen, On some properties of quasiplanes, Results Math. 42 (1-2) (2002), 107–113.
      6. R. Balasubramanian, S. Ponnusamy and M. Vuorinen, On hypergeometric functions and function spaces, J. Comput. Appl. Math. 139 (2) (2002), 299–322.
      7. 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.

      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.
         

      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
      Former Ph.D Students include
      • P. Vasundhra
      • Sunanda Naik
      • 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
      • Sanjeev Singh
       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: