Edit Profile (opens in new tab) Ponnusamy, Saminathan Co-Author Distance Author ID: ponnusamy.saminathan Published as: Ponnusamy, Saminathan; Ponnusamy, S.; Ponnusamy, Saminthan more...less Homepage: https://sites.google.com/view/ponnu8560/ External Links: MGP Documents Indexed: 375 Publications since 1988, including 5 Books and 15 Additional arXiv Preprints 12 Contributions as Editor Reviewing Activity: 79 Reviews Co-Authors: 134 Co-Authors with 354 Joint Publications 3,393 Co-Co-Authors all top 5 Co-Authors 27 single-authored 42 Wang, Xiantao 41 Chen, Shaolin 38 Obradović, Milutin 29 Wirths, Karl-Joachim 17 Li, Liulan 17 Vuorinen, Matti Keijo Kustaa 16 Sahoo, Swadesh Kumar 15 Kayumov, Il’giz Rifatovich 14 Rasila, Antti 13 Baricz, Árpád 11 Balasubramanian, Ramachandran 11 Liu, Gang 11 Singh, Vikramaditya 11 Zhou, Qingshan 10 Kaliraj, Anbareeswaran Sairam 10 Liu, Mingsheng 10 Sugawa, Toshiyuki 10 Vasundhra, P. 9 Bhowmik, Bappaditya 9 Vasudevarao, Allu 8 Qiao, Jinjing 8 Starkov, Victor V. 7 Abu-Muhanna, Yusuf 7 Li, Peijin 7 Liu, Zhihong 7 Vijayakumar, Ramakrishnan 6 Ali, Rosihan Mohamed 6 Naik, Swatee 6 Singh, Sanjeev 6 Yanagihara, Hiroshi 5 Guan, Tiantian 5 Hästö, Peter A. 5 Juneja, Om Prakash 5 Li, Yaxiang 5 Muthukumar, Perumal 5 Parvatham, Rajagopalan 5 Rønning, Frode 4 Deng, Hua 4 Kim, Yong Chan 3 Bharanedhar, S. Vaidhyanathan 3 Giri, Debasis 3 He, Yuehui 3 Huang, Manzi 3 Huang, Yong 3 Karunakaran, V. 3 Khammatova, Diana M. 3 Luo, Qinghong 3 Minda, David 3 Nezhmetdinov, Iscander R. 3 Prabhakaran, Devasirvatham John 3 Sharma, Navneet Lal 2 Alkhaleefah, Seraj A. 2 Anbudurai, M. 2 Arora, Vibhuti 2 Barnard, Roger W. 2 Bharanedhar, Vaidhyanathan 2 Evdoridis, Stavros 2 Graf, Sergey Yu. 2 Kalaj, David 2 Lin, Rouyuan 2 Liu, Junming 2 Müller, Jürgen 2 Sabapathy, S. 2 Xie, Huayou 2 Xuan, Le Anh 1 Abawajy, Jemal H. 1 Abdulhadi, Zayid 1 Adamatzky, Andrew I. 1 Agrawal, Manju Rani 1 Akleylek, Sedat 1 Amozova, K. F. 1 Balasubramaniam, Pagavathigounder 1 Bharali, Gautam 1 Bravo, Víctor 1 Buyya, Rajkumar 1 Chen, Kaixin 1 Choo, Kim-Kwang Raymond 1 Chu, Yuming 1 De, Debashis 1 Fournier, Richard 1 Ganenkova, Ekaterina G. 1 Godula, Janusz 1 Hamada, Hidetaka 1 Hernández, Rodrigo 1 Ho, Anthony T. S. 1 Howlett, Phil G. 1 Huang, Miaomiao 1 Ibragimov, Zair 1 Ismagilov, A. A. 1 Ismagilov, Amir 1 Jahangiri, Jay M. 1 Jankov Maširević, Dragana 1 Jiang, Yueping 1 Jiao, Bo 1 Kalpakam, N. V. 1 Kayumov, Iigiz R. 1 Kayumova, A. V. 1 Kayumova, Anna 1 Krawczyk, Dariusz 1 Li, Xining ...and 40 more Co-Authors all top 5 Serials 25 Journal of Mathematical Analysis and Applications 16 Complex Variables and Elliptic Equations 14 Monatshefte für Mathematik 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 The Journal of Analysis 10 Annales Polonici Mathematici 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Results in Mathematics 9 Complex Variables. Theory and Application 9 Analysis (München) 8 Rocky Mountain Journal of Mathematics 8 Bulletin des Sciences Mathématiques 7 Journal of Computational and Applied Mathematics 7 Mathematische Nachrichten 7 Computational Methods and Function Theory 6 Applied Mathematics and Computation 6 Archiv der Mathematik 6 Proceedings of the American Mathematical Society 6 Bulletin of the Belgian Mathematical Society - Simon Stevin 6 Annales Academiae Scientiarum Fennicae. Mathematica 6 Mediterranean Journal of Mathematics 6 Complex Analysis and Operator Theory 5 Bulletin of the Australian Mathematical Society 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of the Australian Mathematical Society 4 Houston Journal of Mathematics 4 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 4 International Journal of Mathematics and Mathematical Sciences 4 Kodai Mathematical Journal 4 The Journal of Geometric Analysis 4 Glasnik Matematički. Serija III 4 Indagationes Mathematicae. New Series 4 Filomat 4 Integral Transforms and Special Functions 4 Lobachevskii Journal of Mathematics 4 Analysis and Mathematical Physics 3 Hokkaido Mathematical Journal 3 Applied Mathematics Letters 3 Potential Analysis 3 Mathematica 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Advances in Intelligent Systems and Computing 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Canadian Mathematical Bulletin 2 Integral Equations and Operator Theory 2 Journal of the London Mathematical Society. Second Series 2 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 2 Siberian Mathematical Journal 2 Acta Mathematica Hungarica 2 Journal of Mathematical Sciences (New York) 2 Acta Mathematica Sinica. English Series 2 Scientia Sinica. Mathematica 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Studia Mathematica 1 Mathematics of Computation 1 Advances in Mathematics 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 Indian Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Studia Scientiarum Mathematicarum Hungarica 1 Tamkang Journal of Mathematics 1 Soochow Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Aequationes Mathematicae 1 Expositiones Mathematicae 1 Russian Mathematics 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Interdisciplinary Information Sciences (IIS) 1 Mathematical Modelling and Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 The Australian Journal of Mathematical Analysis and Applications 1 Cubo 1 Ramanujan Mathematical Society Lecture Notes Series 1 Acta Mathematica Sinica. Chinese Series 1 Mathematics Newsletter 1 Problemy Analiza. Issues of Analysis 1 Zeszyty Naukowe Politechniki Rzeszowskiej. Folia Scientiarum Universitatis Technicae Resoviensis. Matematyka i Fizyka 1 Annales Fennici Mathematici all top 5 Fields 330 Functions of a complex variable (30-XX) 96 Potential theory (31-XX) 43 Special functions (33-XX) 11 General and overarching topics; collections (00-XX) 11 Functional analysis (46-XX) 11 Operator theory (47-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 7 Difference and functional equations (39-XX) 6 Real functions (26-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Combinatorics (05-XX) 3 Computer science (68-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 311 Publications have been cited 3,238 times in 1,156 Documents Cited by ▼ Year ▼ Asymptotic expansions and inequalities for hypergeometric functions. Zbl 0897.33001 Ponnusamy, S.; Vuorinen, M. 113 1997 Univalence and convexity properties for Gaussian hypergeometric functions. Zbl 0973.30017 Ponnusamy, S.; Vuorinen, M. 65 2001 Bohr’s inequalities for the analytic functions with lacunary series and harmonic functions. Zbl 1394.31001 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 59 2018 Bohr inequality for odd analytic functions. Zbl 1385.30003 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 58 2017 Bloch constant and Landau’s theorem for planar \(p\)-harmonic mappings. Zbl 1202.31003 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 57 2011 Bohr radius for locally univalent harmonic mappings. Zbl 1398.30003 Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Shakirov, Nail 55 2018 On the Bohr inequality with a fixed zero coefficient. Zbl 1428.30001 Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 55 2019 Starlikeness and convexity of generalized Bessel functions. Zbl 1205.30010 Baricz, Árpád; Ponnusamy, Saminathan 52 2010 Planar harmonic and quasiregular mappings. Zbl 1318.30039 Ponnusamy, Saminathan; Rasila, Antti 45 2013 On a powered Bohr inequality. Zbl 1423.30008 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 45 2019 Improved version of Bohr’s inequality. (Version améliorée de l’inégalité de Bohr.) Zbl 1432.30002 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 42 2018 On the Bohr inequality. Zbl 1370.30003 Muhanna, Yusuf Abu; Ali, Rosihan M.; Ponnusamy, Saminathan 40 2017 New criteria and distortion theorems for univalent functions. Zbl 1023.30015 Obradović, M.; Ponnusamy, S. 36 2001 Improved Bohr’s inequality for locally univalent harmonic mappings. Zbl 1404.31002 Evdoridis, Stavros; Ponnusamy, Saminathan; Rasila, Antti 35 2019 Bohr radius for subordination and \(K\)-quasiconformal harmonic mappings. Zbl 1425.31004 Liu, ZhiHong; Ponnusamy, Saminathan 34 2019 Duality for Hadamard products applied to certain integral transforms. Zbl 0878.30007 Ponnusamy, S.; Rønning, F. 34 1997 A class of locally univalent functions defined by a differential inequality. Zbl 1110.30008 Fournier, R.; Ponnusamy, S. 33 2007 Radius of convexity of partial sums of functions in the close-to-convex family. Zbl 1291.30096 Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Yanagihara, Hiroshi 32 2014 On the Fekete-Szegö problem for concave univalent functions. Zbl 1202.30015 Bhowmik, B.; Ponnusamy, S.; Wirths, K.-J. 31 2011 Radius of close-to-convexity and fully starlikeness of harmonic mappings. Zbl 1295.31005 Kalaj, David; Ponnusamy, Saminathan; Vuorinen, Matti 30 2014 On Turán type inequalities for modified Bessel functions. Zbl 1272.33005 Baricz, Árpád; Ponnusamy, Saminathan 30 2013 New inequalities for the coefficients of unimodular bounded functions. Zbl 1442.30003 Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim 29 2020 Coefficient estimates and Landau-Bloch’s constant for planar harmonic mappings. Zbl 1216.31001 Chen, Sh.; Ponnusamy, S.; Wang, X. 28 2011 Univalence and starlikeness of certain transforms defined by convolution of analytic functions. Zbl 1123.30006 Obradović, M.; Ponnusamy, S. 27 2007 Geometric studies on the class \(\mathcal U(\lambda)\). Zbl 1348.30009 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 26 2016 Close-to-convexity properties of Gaussian hypergeometric functions. Zbl 0901.30007 Ponnusamy, S. 26 1998 Coefficient characterizations and sections for some univalent functions. Zbl 1283.30047 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 26 2013 Multidimensional analogues of refined Bohr’s inequality. Zbl 1460.32002 Liu, Ming-Sheng; Ponnusamy, Saminathan 26 2021 Solution to an open problem on convolutions of harmonic mappings. Zbl 1287.30004 Li, Liulan; Ponnusamy, Saminathan 26 2013 Logarithmic coefficients and a coefficient conjecture for univalent functions. Zbl 1400.30027 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 25 2018 Functional inequalities for the quotients of hypergeometric functions. Zbl 0890.33004 Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 25 1998 On hypergeometric functions and function spaces. Zbl 1172.33302 Balasubramanian, R.; Ponnusamy, S.; Vuorinen, M. 24 2002 Injectivity of sections of univalent harmonic mappings. Zbl 1279.30038 Li, Liulan; Ponnusamy, Saminathan 24 2013 Properties of some classes of planar harmonic and planar biharmonic mappings. Zbl 1433.30062 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 24 2011 On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces. Zbl 1314.30116 Chen, Shaolin; Ponnusamy, Saminathan; Rasila, Antti 24 2015 Variability regions for certain families of harmonic univalent mappings. Zbl 1294.30045 Ponnusamy, S.; Yamamoto, Hiroshi; Yanagihara, H. 24 2013 Starlikeness properties for convolutions involving hypergeometric series. Zbl 1008.30004 Ponnusamy, Saminathan; Rønning, Frode 23 1998 Landau’s theorem for certain biharmonic mappings. Zbl 1159.31301 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 23 2009 Bohr’s phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings. Zbl 1439.30001 Liu, Ming-Sheng; Ponnusamy, Saminathan; Wang, Jun 23 2020 Sharp Bohr type inequality. Zbl 1441.30077 Ismagilov, Amir; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 23 2020 On the Bohr inequality for the Cesáro operator. Zbl 1451.30100 Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan 23 2020 Differential subordination and Bazilevič functions. Zbl 0859.30024 Ponnusamy, S. 22 1995 New sufficient conditions for starlike and univalent functions. Zbl 0843.30024 Ponnusamy, S.; Rajasekaran, S. 21 1995 Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives. Zbl 1066.30013 Kim, Yong Chan; Ponnusamy, S.; Sugawa, Toshiyuki 21 2004 Isometries of some hyperbolic-type path metric, and the hyperbolic medial axis. Zbl 1147.30029 Hästö, Peter; Ibragimov, Zair; Minda, David; Ponnusamy, Saminathan; Sahoo, Swadesh 21 2007 On harmonic \({\nu}\)-Bloch and \({\nu}\)-Bloch-type mappings. Zbl 1402.31001 Liu, Gang; Ponnusamy, Saminthan 20 2018 Univalence and convexity properties for confluent hypergeometric functions. Zbl 0902.30011 Ponnusamy, S.; Vuorinen, M. 20 1998 Convolutions of slanted half-plane harmonic mappings. Zbl 1286.30011 Li, Liulan; Ponnusamy, S. 20 2013 Region of variability of two subclasses of univalent functions. Zbl 1114.30014 Ponnusamy, S.; Vasudevarao, A. 20 2007 Turán type inequalities for Struve functions. Zbl 1350.33009 Baricz, Árpád; Ponnusamy, Saminathan; Singh, Sanjeev 19 2017 Refined Bohr inequality for bounded analytic functions. Zbl 1477.30047 Liu, Gang; Liu, Zhihong; Ponnusamy, Saminathan 19 2021 Bohr-Rogosinski inequalities for bounded analytic functions. Zbl 1456.30001 Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 19 2020 Univalency, starlikeness and convexity applied to certain classes of rational functions. Zbl 1010.30011 Obradović, M.; Ponnusamy, S.; Singh, V.; Vasundhra, P. 18 2002 Inclusion theorems for convolution product of second order polylogarithms and functions with the derivative in a halfplane. Zbl 0915.30012 Ponnusamy, S. 18 1998 Some properties of planar \(p\)-harmonic and log-\(p\)-harmonic mappings. Zbl 1273.30015 Li, P.; Ponnusamy, S.; Wang, Xiantao 18 2013 Improved Bohr’s phenomenon in quasi-subordination classes. Zbl 1475.30005 Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim 18 2022 Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane. Zbl 0938.30006 Ponnusamy, S.; Rønning, F. 17 1999 Coefficient conditions for harmonic univalent mappings and hypergeometric mappings. Zbl 1298.30001 Bharanedhar, S. V.; Ponnusamy, S. 17 2014 Schwarzian derivative and Landau’s theorem for logharmonic mappings. Zbl 1285.30009 Mao, Zh.; Ponnusamy, S.; Wang, X. 17 2013 Criteria for strongly starlike functions. Zbl 0892.30005 Ponnusamy, S.; Singh, Vikramaditya 16 1997 Disk of convexity of sections of univalent harmonic functions. Zbl 1307.31002 Li, Liulan; Ponnusamy, Saminathan 15 2013 Coefficient estimates, Landau’s theorem and Lipschitz-type spaces on planar harmonic mappings. Zbl 1290.30063 Chen, Shaolin; Ponnusamy, Saminathan; Rasila, Antti 15 2014 Landau’s theorem and Marden constant for harmonic \(\nu \)-Bloch mappings. Zbl 1220.30033 Chen, Sh.; Ponnusamy, S.; Wang, X. 15 2011 Starlikeness of the Gaussian hypergeometric functions. Zbl 1187.30017 Hästö, Peter; Ponnusamy, S.; Vuorinen, M. 15 2010 Refined Bohr-type inequalities with area measure for bounded analytic functions. Zbl 1473.30002 Huang, Yong; Liu, Ming-Sheng; Ponnusamy, Saminathan 15 2020 Univalency of convolutions of univalent harmonic right half-plane mappings. Zbl 1388.31003 Liu, ZhiHong; Ponnusamy, Saminathan 14 2017 Extremal problems on the class of convex functions of order \(-1/2\). Zbl 1303.30015 Muhanna, Yusuf Abu; Li, Liulan; Ponnusamy, Saminathan 14 2014 On planar harmonic Lipschitz and planar harmonic Hardy classes. Zbl 1279.30035 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 14 2011 On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings. Zbl 1323.31002 Ponnusamy, S.; Kaliraj, A. Sairam 14 2015 Hypergeometric transforms of functions with derivative in a half plane. Zbl 0934.30006 Ponnusamy, S. 13 1998 Polylogarithms in the theory of univalent functions. Zbl 0863.30016 Ponnusamy, S.; Sabapathy, S. 13 1996 On the problem of Gromova and Vasil’ev on integral means, and Yamashita’s conjecture for spirallike functions. Zbl 1295.30042 Ponnusamy, Saminathan; Wirths, Karl-Joachim 13 2014 Differential subordination and starlike functions. Zbl 0724.30020 Ponnusamy, S. 13 1992 On the generalized Zalcman functional \(\lambda a_n^2-a_{2n-1}\) in the close-to-convex family. Zbl 1355.30013 Li, Liulan; Ponnusamy, Saminathan 13 2017 The Hardy spaces of hypergeometric functions. Zbl 0845.30036 Ponnusamy, S. 13 1996 Functional inequalities for modified Bessel functions. Zbl 1237.39023 Baricz, Árpád; Ponnusamy, Saminathan; Vuorinen, Matti 13 2011 Integral means and coefficient estimates on planar harmonic mappings. Zbl 1291.30131 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 13 2012 Improved Bohr’s inequality for shifted disks. Zbl 1470.30001 Evdoridis, Stavros; Ponnusamy, Saminathan; Rasila, Antti 13 2021 Constants and characterization for certain classes of univalent harmonic mappings. Zbl 1337.31004 Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam 12 2015 Injectivity and starlikeness of sections of a class of univalent functions. Zbl 1320.30031 Obradović, M.; Ponnusamy, S. 12 2013 Pólya-Schoenberg conjecture for Carathéodory functions. Zbl 0814.30017 Ponnusamy, S. 12 1995 Sections of stable harmonic convex functions. Zbl 1320.31006 Li, Liulan; Ponnusamy, Saminathan 12 2015 Differential subordinations concerning starlike functions. Zbl 0808.30012 Ponnusamy, S. 12 1994 A proof of Yamashita’s conjecture on area integral. Zbl 1283.30031 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 12 2013 Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators. Zbl 1461.30008 Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan 12 2021 Product of univalent functions. Zbl 1305.30010 Obradović, Milutin; Ponnusamy, Saminathan 11 2013 John disks and \(K\)-quasiconformal harmonic mappings. Zbl 1378.30008 Chen, Shaolin; Ponnusamy, Saminathan 11 2017 Sections of univalent harmonic mappings. Zbl 1372.31008 Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam; Starkov, Victor V. 11 2017 Radius properties for subclasses of univalent functions. Zbl 1121.30010 Obradović, M.; Ponnusamy, S. 11 2005 Complex variables with applications. Zbl 1121.30001 Ponnusamy, S.; Silverman, Herb 11 2006 Foundations of mathematical analysis. Zbl 1236.26002 Ponnusamy, S. 11 2012 Coefficient characterization for certain classes of univalent functions. Zbl 1175.30016 Obradović, M.; Ponnusamy, S. 11 2009 Compositions of harmonic mappings and biharmonic mappings. Zbl 1209.30009 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 11 2010 Integral transforms of a class of analytic functions. Zbl 1146.30009 Ponnusamy, S.; Rønning, F. 11 2008 Modified Dini functions: monotonicity patterns and functional inequalities. Zbl 1399.39055 Baricz, A.; Ponnusamy, S.; Singh, S. 10 2016 Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm. Zbl 1401.31005 Liu, Gang; Ponnusamy, Saminathan 10 2018 Generalized Zalcman conjecture for convex functions of order \(\alpha\). Zbl 1389.30059 Li, L.; Ponnusamy, S.; Qiao, J. 10 2016 On quasisymmetry of quasiconformal mappings. Zbl 1328.30013 Huang, M.; Ponnusamy, S.; Rasila, A.; Wang, X. 10 2016 Boundedness of generalized Cesàro averaging operators on certain function spaces. Zbl 1080.30032 Agrawal, M. R.; Howlett, P. G.; Lucas, S. K.; Naik, S.; Ponnusamy, S. 10 2005 Duality techniques for certain integral transforms to be starlike. Zbl 1061.30012 Balasubramanian, R.; Ponnusamy, S.; Prabhakaran, D. J. 10 2004 Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings. Zbl 07802124 Liu, Ming-Sheng; Ponnusamy, Saminathan 1 2024 Gromov hyperbolicity in the free quasiworld. I. Zbl 1503.30061 Zhou, Qingshan; Ponnusamy, Saminathan 5 2023 The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables. Zbl 1513.30004 Lin, Rouyuan; Liu, Mingsheng; Ponnusamy, Saminathan 3 2023 Complex symmetric weighted composition-differentiation operators. Zbl 07683833 Liu, Junming; Ponnusamy, Saminathan; Xie, Huayou 2 2023 The Bohr-type operator on analytic functions and sections. Zbl 1509.30002 Huang, Yong; Liu, Ming-Sheng; Ponnusamy, Saminathan 2 2023 Improved Bohr inequality for harmonic mappings. Zbl 1523.31005 Liu, Gang; Ponnusamy, Saminathan 1 2023 Improved Bohr’s phenomenon in quasi-subordination classes. Zbl 1475.30005 Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim 18 2022 The Bohr inequality for the generalized Cesáro averaging operators. Zbl 1483.30005 Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan 8 2022 Harmonic spirallike functions and harmonic strongly starlike functions. Zbl 1502.31005 Ma, Xiu-Shuang; Ponnusamy, Saminathan; Sugawa, Toshiyuki 4 2022 Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk. Zbl 1486.31009 Li, Peijin; Ponnusamy, Saminathan 2 2022 A note on \(\partial\)-biLipschitz mappings in quasiconvex metric spaces. Zbl 1486.30070 Guan, Tiantian; Ponnusamy, Saminathan; Zhou, Qingshan 2 2022 Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings. Zbl 1504.31004 Bravo, V.; Hernández, R.; Ponnusamy, S.; Venegas, O. 2 2022 On harmonic entire mappings. Zbl 1477.31002 Deng, Hua; Ponnusamy, Saminathan; Qiao, Jinjing; Shan, Yanan 1 2022 Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk. Zbl 1486.31008 Li, Peijin; Luo, Qinghong; Ponnusamy, Saminathan 1 2022 Relations of the class \(\mathcal{U}(\lambda )\) to other families of functions. Zbl 1492.30041 Li, Liulan; Ponnusamy, Saminathan; Wirths, Karl Joachim 1 2022 Gromov hyperbolicity of the \(\tilde{j}_G\) metric and boundary correspondence. Zbl 1493.30088 Zhou, Qingshan; Ponnusamy, Saminathan; Guan, Tiantian 1 2022 Multidimensional analogues of refined Bohr’s inequality. Zbl 1460.32002 Liu, Ming-Sheng; Ponnusamy, Saminathan 26 2021 Refined Bohr inequality for bounded analytic functions. Zbl 1477.30047 Liu, Gang; Liu, Zhihong; Ponnusamy, Saminathan 19 2021 Improved Bohr’s inequality for shifted disks. Zbl 1470.30001 Evdoridis, Stavros; Ponnusamy, Saminathan; Rasila, Antti 13 2021 Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators. Zbl 1461.30008 Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan 12 2021 Bohr-type inequalities for harmonic mappings with a multiple zero at the origin. Zbl 1462.31002 Huang, Yong; Liu, Ming-Sheng; Ponnusamy, Saminathan 7 2021 Remarks on “‘Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings”. Zbl 1476.30086 Chen, Shaolin; Ponnusamy, Saminathan; Wang, Xiantao 4 2021 Bohr inequalities in some classes of analytic functions. Zbl 1468.30008 Ismagilov, A. A.; Kayumova, A. V.; Kayumov, I. R.; Ponnusamy, S. 4 2021 Sharp inequalities for logarithmic coefficients and their applications. Zbl 1461.30049 Ponnusamy, Saminathan; Sugawa, Toshiyuki 3 2021 Modifications of Bohr’s inequality in various settings. Zbl 1515.30005 Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirth, Karl-Joachim 3 2021 Extreme points and support points of families of harmonic Bloch mappings. Zbl 1483.31002 Deng, Hua; Ponnusamy, Saminathan; Qiao, Jinjing 2 2021 One parameter family of univalent polyharmonic mappings. Zbl 1462.31006 Luo, Qinghong; Ponnusamy, Saminathan 1 2021 New inequalities for the coefficients of unimodular bounded functions. Zbl 1442.30003 Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim 29 2020 Bohr’s phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings. Zbl 1439.30001 Liu, Ming-Sheng; Ponnusamy, Saminathan; Wang, Jun 23 2020 Sharp Bohr type inequality. Zbl 1441.30077 Ismagilov, Amir; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 23 2020 On the Bohr inequality for the Cesáro operator. Zbl 1451.30100 Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan 23 2020 Bohr-Rogosinski inequalities for bounded analytic functions. Zbl 1456.30001 Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 19 2020 Refined Bohr-type inequalities with area measure for bounded analytic functions. Zbl 1473.30002 Huang, Yong; Liu, Ming-Sheng; Ponnusamy, Saminathan 15 2020 Bohr type inequalities for functions with a multiple zero at the origin. Zbl 1461.30004 Ponnusamy, S.; Wirths, K.-J. 10 2020 Logarithmic coefficients problems in families related to starlike and convex functions. Zbl 1440.30004 Ponnusamy, Saminathan; Sharma, Navneet Lal; Wirths, Karl-Joachim 10 2020 Riesz-Fejér inequalities for harmonic functions. Zbl 1439.31001 Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam 4 2020 Composition operators on Hardy spaces of the homogenous rooted trees. Zbl 1508.47048 Muthukumar, Perumal; Ponnusamy, Saminathan 4 2020 On classes of meromorphic locally univalent functions defined by differential inequalities. Zbl 1439.30029 Lee, See Keong; Ponnusamy, Saminathan; Wirths, Karl-Joachim 3 2020 Extreme points and support points of harmonic \(\alpha\)-Bloch mappings. Zbl 1451.30110 Huang, Miaomiao; Ponnusamy, Saminathan; Qiao, Jinjing 3 2020 On certain quasiconformal and elliptic mappings. Zbl 1442.30020 Chen, Shaolin; Ponnusamy, Saminathan 3 2020 Properties of normal harmonic mappings. Zbl 1472.31002 Deng, Hua; Ponnusamy, Saminathan; Qiao, Jinjing 2 2020 Finite pairs of prescribed cycles of König’s and Steffensen’s methods for entire functions. Zbl 1437.37055 Liu, Gang; Ponnusamy, Saminathan 1 2020 On the Bohr inequality with a fixed zero coefficient. Zbl 1428.30001 Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 55 2019 On a powered Bohr inequality. Zbl 1423.30008 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 45 2019 Improved Bohr’s inequality for locally univalent harmonic mappings. Zbl 1404.31002 Evdoridis, Stavros; Ponnusamy, Saminathan; Rasila, Antti 35 2019 Bohr radius for subordination and \(K\)-quasiconformal harmonic mappings. Zbl 1425.31004 Liu, ZhiHong; Ponnusamy, Saminathan 34 2019 The spherical metric and univalent harmonic mappings. Zbl 1416.31001 Abu Muhanna, Yusuf; Ali, Rosihan M.; Ponnusamy, Saminathan 8 2019 Hornich operations on functions of bounded boundary rotations and order \(\alpha\). Zbl 1427.30028 Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki 8 2019 Successive coefficients for spirallike and related functions. Zbl 1427.30014 Arora, Vibhuti; Ponnusamy, Saminathan; Sahoo, Swadesh Kumar 8 2019 Harmonic pre-Schwarzian and its applications. Zbl 1418.31003 Liu, Gang; Ponnusamy, Saminathan 6 2019 Note on the convolution of harmonic mappings. Zbl 1419.31001 Li, Liulan; Ponnusamy, Saminathan 5 2019 Schwarz lemmas for mappings satisfying Poisson’s equation. Zbl 1443.31002 Chen, Shaolin; Ponnusamy, Saminathan 5 2019 Radial length, radial John disks and \(K\)-quasiconformal harmonic mappings. Zbl 1416.30011 Chen, Shaolin; Ponnusamy, Saminathan 4 2019 Rotations of convex harmonic univalent mappings. Zbl 1425.31003 Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Xuan, Le Anh 3 2019 Univalent harmonic mappings and lift to the minimal surfaces. Zbl 1433.30001 Jiang, Yue Ping; Liu, Zhihong; Ponnusamy, Saminathan 2 2019 Bohr’s inequalities for the analytic functions with lacunary series and harmonic functions. Zbl 1394.31001 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 59 2018 Bohr radius for locally univalent harmonic mappings. Zbl 1398.30003 Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Shakirov, Nail 55 2018 Improved version of Bohr’s inequality. (Version améliorée de l’inégalité de Bohr.) Zbl 1432.30002 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 42 2018 Logarithmic coefficients and a coefficient conjecture for univalent functions. Zbl 1400.30027 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 25 2018 On harmonic \({\nu}\)-Bloch and \({\nu}\)-Bloch-type mappings. Zbl 1402.31001 Liu, Gang; Ponnusamy, Saminthan 20 2018 Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm. Zbl 1401.31005 Liu, Gang; Ponnusamy, Saminathan 10 2018 Logarithmic coefficients of the inverse of univalent functions. Zbl 1404.30023 Ponnusamy, Saminathan; Sharma, Navneet Lal; Wirths, Karl-Joachim 9 2018 Coefficient problems on the class \(U(\lambda)\). Zbl 1427.30029 Ponnusamy, Saminathan; Wirths, Karl-Joachim 8 2018 Bohr’s inequality for harmonic mappings and beyond. Zbl 1460.30003 Kayumova, Anna; Kayumov, Ilgiz R.; Ponnusamy, Saminathan 8 2018 Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric. Zbl 1404.30028 Li, Peijin; Ponnusamy, Saminthan 7 2018 Landau’s theorem for solutions of the \(\overline{\partial}\)-equation in Dirichlet-type spaces. Zbl 1380.30030 Chen, Shaolin; Ponnusamy, Saminathan 5 2018 Coefficients of univalent harmonic mappings. Zbl 1402.31002 Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam; Starkov, Victor V. 5 2018 Elementary considerations for classes of meromorphic univalent functions. Zbl 1401.30026 Ponnusamy, S.; Wirths, K.-J. 5 2018 Estimate for norm of a composition operator on the Hardy-Dirichlet space. Zbl 06859650 Muthukumar, Perumal; Ponnusamy, Saminathan; Queffélec, Hervé 4 2018 Some properties of univalent log-harmonic mappings. Zbl 1499.30037 Liu, Zhihong; Ponnusamy, Saminathan 4 2018 Radius of fully starlikeness and fully convexity of harmonic linear differential operator. Zbl 1391.30022 Liu, ZhiHong; Ponnusamy, Saminathan 3 2018 Univalence criterion for harmonic mappings and \(\Phi\)-like functions. Zbl 1401.30006 Graf, Sergey Yu.; Ponnusamy, Saminathan; Starkov, Victor V. 3 2018 The Jacobian conjecture and injectivity conditions. Zbl 1406.14044 Ponnusamy, Saminathan; Starkov, Victor V. 3 2018 Prescribed cycles of König’s method for polynomials. Zbl 1382.37045 Liu, Gang; Ponnusamy, Saminathan 2 2018 Uniformly locally univalent harmonic mappings. Zbl 1395.30018 Ponnusamy, Saminathan; Qiao, Jinjing; Wang, Xiantao 2 2018 Cross-product of Bessel functions: monotonicity patterns and functional inequalities. Zbl 1393.39018 Baricz, Árpád; Ponnusamy, Saminathan; Singh, Sanjeev 2 2018 Weighted composition operators on the class of subordinate functions. Zbl 1407.30007 Muthukumar, Perumal; Ponnusamy, Saminathan 1 2018 Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings. Zbl 1401.31009 Abdulhadi, Zayid; Muhanna, Yusuf Abu; Ponnusamy, Saminathan 1 2018 Bohr inequality for odd analytic functions. Zbl 1385.30003 Kayumov, Ilgiz R.; Ponnusamy, Saminathan 58 2017 On the Bohr inequality. Zbl 1370.30003 Muhanna, Yusuf Abu; Ali, Rosihan M.; Ponnusamy, Saminathan 40 2017 Turán type inequalities for Struve functions. Zbl 1350.33009 Baricz, Árpád; Ponnusamy, Saminathan; Singh, Sanjeev 19 2017 Univalency of convolutions of univalent harmonic right half-plane mappings. Zbl 1388.31003 Liu, ZhiHong; Ponnusamy, Saminathan 14 2017 On the generalized Zalcman functional \(\lambda a_n^2-a_{2n-1}\) in the close-to-convex family. Zbl 1355.30013 Li, Liulan; Ponnusamy, Saminathan 13 2017 John disks and \(K\)-quasiconformal harmonic mappings. Zbl 1378.30008 Chen, Shaolin; Ponnusamy, Saminathan 11 2017 Sections of univalent harmonic mappings. Zbl 1372.31008 Ponnusamy, Saminathan; Kaliraj, Anbareeswaran Sairam; Starkov, Victor V. 11 2017 Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk. Zbl 1388.31005 Li, Peijin; Ponnusamy, Saminathan 9 2017 Criteria of univalence and fully \(\alpha\)-accessibility for \(p\)-harmonic and \(p\)-analytic functions. Zbl 1371.31005 Amozova, K. F.; Ganenkova, E. G.; Ponnusamy, S. 8 2017 Discrete analogue of generalized Hardy spaces and multiplication operators on homogenous trees. Zbl 06813660 Muthukumar, Perumal; Ponnusamy, Saminathan 8 2017 Composition operators on the discrete analogue of generalized Hardy space on homogenous trees. Zbl 1508.47047 Muthukumar, Perumal; Ponnusamy, Saminathan 7 2017 Characterization of univalent harmonic mappings with integer or half-integer coefficients. Zbl 1360.31003 Ponnusamy, Saminathan; Qiao, Jinjing 6 2017 Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions. Zbl 1399.31005 Chen, Shaolin; Mateljevic, Miodrag; Ponnusamy, Saminathan; Wang, Xiantao 4 2017 Linear measure and \(K\)-quasiconformal harmonic mappings. Zbl 1499.30213 Chen, Shaolin; Liu, Gang; Ponnusamy, Saminathan 3 2017 Compositions of polyharmonic mappings. Zbl 1401.31012 Liu, Gang; Ponnusamy, Saminathan 2 2017 Concave univalent functions and Dirichlet finite integral. Zbl 1379.30005 Muhanna, Yusuf Abu; Ponnusamy, Saminathan 1 2017 Geometric studies on the class \(\mathcal U(\lambda)\). Zbl 1348.30009 Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim 26 2016 Modified Dini functions: monotonicity patterns and functional inequalities. Zbl 1399.39055 Baricz, A.; Ponnusamy, S.; Singh, S. 10 2016 Generalized Zalcman conjecture for convex functions of order \(\alpha\). Zbl 1389.30059 Li, L.; Ponnusamy, S.; Qiao, J. 10 2016 On quasisymmetry of quasiconformal mappings. Zbl 1328.30013 Huang, M.; Ponnusamy, S.; Rasila, A.; Wang, X. 10 2016 Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping. Zbl 1336.31003 Chen, Shao Lin; Ponnusamy, Saminathan; Rasila, Antti; Wang, Xian Tao 10 2016 Extreme points method and univalent harmonic mappings. Zbl 1350.31003 Muhanna, Yusuf Abu; Ponnusamy, Saminathan 9 2016 ...and 211 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 884 Authors 201 Ponnusamy, Saminathan 40 Chen, Shaolin 40 Vuorinen, Matti Keijo Kustaa 36 Baricz, Árpád 35 Wang, Xiantao 34 Obradović, Milutin 29 Rasila, Antti 27 Allu, Vasudevarao 26 Liu, Mingsheng 24 Chu, Yuming 23 Sahoo, Swadesh Kumar 23 Wirths, Karl-Joachim 22 Ali, Rosihan Mohamed 21 Bhowmik, Bappaditya 19 Ravichandran, Vaithiyanathan 17 Vasudevarao, Allu 17 Wang, Miaokun 16 Mehrez, Khaled 16 Srivastava, Hari Mohan 16 Sugawa, Toshiyuki 15 Bansal, Deepak 14 Bulboacă, Teodor 14 Kayumov, Il’giz Rifatovich 14 Porwal, Saurabh 14 Prajapat, Jugal Kishore 14 Qiu, Songliang 13 Hamada, Hidetaka 13 Kaliraj, Anbareeswaran Sairam 13 Li, Liulan 13 Maharana, Sudhananda 12 Darus, Maslina 12 Liu, Gang 12 Liu, Zhihong 12 Orhan, Halit 12 Sokół, Janusz 12 Yang, Zhenhang 11 Ali, Md Firoz 11 Halder, Himadri 11 Jiang, Yueping 11 Kargar, Rahim 11 Li, Yaxiang 11 Liu, Jinlin 11 Starkov, Victor V. 11 Swaminathan, Anbhu 11 Tuneski, Nikola 11 Wang, Zhigang 11 Zhou, Qingshan 10 Cho, Nak Eun 10 Deniz, Erhan 10 Ebadian, Ali 10 Gupta, Sushma 10 Huang, Manzi 10 Karp, Dmitriĭ Borisovich 10 Li, Peijin 10 Long, Boyong 10 Singh, Sukhjit 10 Zhu, Ling 9 Ahamed, Molla Basir 9 Arora, Vibhuti 9 Chen, Jiaolong 9 Noor, Khalida Inayat 9 Raza, Mohsan 9 Szasz, Robert Zoltan 9 Zhang, Xiaohui 8 Abu-Muhanna, Yusuf 8 Balasubramanian, Ramachandran 8 Gaunt, Robert Edward 8 Gochhayat, Priyabrat 8 Hernández, Rodrigo 8 Ibrahim, Rabha Waell 8 Lee, See Keong 8 Ma, Xiaoyan 8 Owa, Shigeyoshi 8 Qiao, Jinjing 8 Singh, Sanjeev 8 Yalçin, Sibel 8 Yanagihara, Hiroshi 8 Zhu, Jianfeng 7 Abdulhadi, Zayid 7 Agrawal, Sarita 7 Aktaş, İbrahim 7 Aouf, Mohamed Kamal 7 Das, Nilanjan 7 Ghosh, Nirupam 7 Huang, TiRen 7 Kim, Yong Chan 7 Klén, Riku 7 Naik, Sunanda 7 Wang, Qihan 6 Adegani, Ebrahim Analouei 6 Arif, Muhammad 6 Khan, Bilal 6 Khan, Nazar 6 Kumar, Shankey 6 Mondal, Saiful Rahman 6 Pogány, Tibor K. 6 Prajapati, Anuja 6 Sharma, Navneet Lal 6 Tian, Jingfeng 6 Xu, Zhenghua ...and 784 more Authors all top 5 Cited in 215 Serials 89 Journal of Mathematical Analysis and Applications 54 Bulletin of the Malaysian Mathematical Sciences Society. 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