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Mathematics

D-Index
44
Citations
6331
World Ranking
1613
National Ranking
18

Overview

Saminathan Ponnusamy is affiliated with the Indian Institute of Technology Madras in India. Their research activity is primarily within the field of Mathematics, with a substantial focus on Applied Mathematics, Geometry and Topology, and Mathematical Physics.

Their publication record includes papers on topics such as Analytic and Geometric Function Theory, Holomorphic and Operator Theory, and Advanced Banach Space Theory. Other notable research areas include Algebraic and Geometric Analysis, Advanced Harmonic Analysis Research, Geometric Analysis and Curvature Flows, and Differential Equations and Boundary Problems.

Selected recent papers authored or coauthored by Saminathan Ponnusamy include:

  • New Inequalities for the Coefficients of Unimodular Bounded Functions, 2020, Results in Mathematics
  • Multidimensional analogues of refined Bohr's inequality, 2020, Proceedings of the American Mathematical Society
  • Bohr's phenomenon for the classes of Quasi-subordination and K-quasiregular harmonic mappings, 2020, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
  • Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators, 2020, Journal of Mathematical Analysis and Applications
  • On the Bohr inequality for the Cesáro operator, 2020, Comptes Rendus Mathématique

Frequent coauthors working with Ponnusamy include:

  • Mingsheng Liu
  • Qingshan Zhou
  • Peijin Li
  • Ramakrishnan Vijayakumar
  • Karl-Joachim Wirths

Publication venues where Ponnusamy has regularly contributed include:

  • arXiv (Cornell University)
  • Journal of Mathematical Analysis and Applications
  • Monatshefte für Mathematik
  • Bulletin des Sciences Mathématiques
  • Journal of Geometric Analysis

In addition to journal articles, Ponnusamy has contributed to book publications with notable scientific publishers such as Springer International Publishing and Springer Nature. Titles include "Mathematics and Computing" (2022) and proceedings from international conferences in Mathematics and Computing published in 2020 and 2023.

Best Publications

  • Asymptotic expansions and inequalities for hypergeometric function

    S. Ponnusamy;M. Vuorinen

  • Starlikeness and convexity of generalized Bessel functions

    Árpád Baricz;Saminathan Ponnusamy

  • Univalence and Convexity Properties for Gaussian Hypergeometric Functions

    S. Ponnusamy;M. Vuorinen

  • Bloch constant and Landau's theorem for planar p-harmonic mappings

    Sh. Chen;S. Ponnusamy;X. Wang

  • Bohr's inequalities for the analytic functions with lacunary series and harmonic functions

    Ilgiz R. Kayumov;Saminathan Ponnusamy

  • New criteria and distortion theorems for univalent functions

    M. Obradović;S. Ponnusamy

  • Improved version of Bohr's inequality

    Ilgiz R. Kayumov;Saminathan Ponnusamy

  • On the Bohr inequality with a fixed zero coefficient

    Seraj A. Alkhaleefah;Ilgiz R Kayumov;Saminathan Ponnusamy

  • On the Bohr Inequality

    Yusuf Abu Muhanna;Rosihan M. Ali;Saminathan Ponnusamy

  • Bohr radius for locally univalent harmonic mappings

    Ilgiz R Kayumov;Saminathan Ponnusamy;Nail Shakirov

  • Bohr Inequality for Odd Analytic Functions

    Ilgiz R Kayumov;Saminathan Ponnusamy

  • On a powered Bohr inequality

    Ilgiz R. Kayumov;Saminathan Ponnusamy

  • Bohr Radius for Subordination and K-quasiconformal Harmonic Mappings

    ZhiHong Liu;Saminathan Ponnusamy

  • Differential sobordination and Bazilevič functions

    S Ponnusamy

  • Complex Variables with Applications

    Saminathan Ponnusamy;Herb Silverman

  • Duality for hadamard products applied to certain integral transforms

    S. Ponnusamy;F. R⊘nning

  • UNIVALENCY, STARLIKENESS AND CONVEXITY APPLIED TO CERTAIN CLASSES OF RATIONAL FUNCTIONS

    M. Obradović;S. Ponnusamy;V. Singh;P. Vasundhra

  • Foundations of Complex Analysis

    Saminathan Ponnusamy

  • A class of locally univalent functions defined by a differential inequality

    R. Fournier;S. Ponnusamy

  • Logarithmic coefficients and a coefficient conjecture for univalent functions

    Milutin Obradović;Saminathan Ponnusamy;Karl-Joachim Wirths

  • On a class of univalent functions

    Milutin Obradovic;Saminathan Ponnusamy

  • On Tur'an type inequalities for modified Bessel functions

    Árpád Baricz;Saminathan Ponnusamy

Frequent Co-Authors

Matti Vuorinen
Matti Vuorinen University of Turku
Peter Hästö
Peter Hästö University of Helsinki
Imre J. Rudas
Imre J. Rudas Óbuda University
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Olli Martio
Olli Martio University of Helsinki

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