1 citations · 2 across the 15 of their papers we have counts for
16 papers
Coefficients and Integral Mean Estimates for -Quasiconformal Harmonic Mappings
Jasbir Parashar, Saminathan Ponnusamy, A. Sairam Kaliraj
Recently, Li and Ponnusamy~\cite{LiPonnusamy2025} established the coefficient conjecture proposed by Wang et al.~\cite{Wang2024} for several prominent geometric subclasses of $\mat…
Asymptotic behavior of zeros of Bessel function derivatives
Árpád Baricz, Pranav Kumar, Saminathan Ponnusamy
We derive two distinct asymptotic expansions for the zeros of the -th derivative of Bessel function . The first is a McMahon-type expansion for the…
Landau-type Theorems for Polyanalytic and Log--analytic functions
P. Li, M. -S. Liu, S. Ponnusamy +1
In the present article, we investigate the univalence property of polyanalytic functions and --analytic functions. First, by using a new idea, we prove an improved lemma a…
On the dynamics of Halley's method
Gang Liu, Soumen Pal, Saminathan Ponnusamy
In this article, we study the global dynamics of Halley's method applied to complex polynomials. Specifically, we analyze the structure and connectivity of the Julia set of this me…
Sharp bounds for the growth and distortion of the analytic part of convex K-quasiconformal harmonic mappings
Peijin Li, Saminathan Ponnusamy
The main aim of this paper is to obtain the sharp upper and lower bounds for the growth and distortion of the analytic part of sense-preserving convex -quasiconformal harmon…
On the coefficients estimate of K-quasiconformal harmonic mappings
Peijin Li, Saminathan Ponnusamy
Recently, the Wang et al. \cite{wwrq} proposed a coefficient conjecture for the family of -quasiconformal harmonic mappings that are…
Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings
Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy
Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondl…
The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
Shankey Kumar, Saminathan Ponnusamy, G. Brock Williams
In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach s…
Asymptotic value of the multidimensional Bohr radius
Vibhuti Arora, Shankey Kumar, Saminathan Ponnusamy
This article determines the exact asymptotic value of the Bohr radii and the arithmetic Bohr radii for the holomorphic functions defined on the unit ball of the space an…
Sharp inequalities for logarithmic coefficients and their applications
S. Ponnusamy, Toshiyuki Sugawa
I. M. Milin proposed, in his 1971 paper, a system of inequalities for the logarithmic coefficients of normalized univalent functions on the unit disk of the complex plane. This is…
Criteria of univalence and fully α--accessibility for p--harmonic and p--analytic functions
K. F. Amozova, E. G. Ganenkova, S. Ponnusamy
In this article, we present univalence criteria for polyharmonic and polyanalytic functions. Our approach yields new a criterion for a polyharmonic functions to be fully --acces…
The radius of univalence of the reciprocal of a product of two analytic functions
Á. Baricz, M. Obradović, S. Ponnusamy
Let denote the family of all functions analytic in the open unit disk $\ID$ with the normalization and be the class of univalent…
Extreme points method and univalent harmonic mappings
Y. Abu Muhanna, S. Ponnusamy
We consider the class of all sense-preserving complex-valued harmonic mappings defined on the unit disk $\ID$ with the normalization and $g(0)=g'(0)…
On the coefficient conjecture of Clunie and Sheil-Small on Univalent Harmonic Mappings
S. Ponnusamy, A. Sairam Kaliraj
In this paper, we first prove the coefficient conjecture of Clunie and Sheil-Small for a class of univalent harmonic functions which includes functions convex in some direction. Ne…
The minimal surfaces over the slanted half-planes, vertical strips and single slit
Liulan Li, S. Ponnusamy, M. Vuorinen
In this paper, we discuss the minimal surfaces over the slanted half-planes, vertical strips, and single slit whose slit lies on the negative real axis. The representation of these…
The quasiconformal subinvariance property of John domains in $\protect \IR^n$ and its application
M. Huang, Y. Li, S. Ponnusamy +1
The main aim of this paper is to give a complete solution to one of the open problems, raised by Heinonen from 1989, concerning the subinvariance of John domains under quasiconform…