8 papers
Asymptotic behavior of zeros of Bessel function derivatives
Ãrpád 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 t…
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…
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…
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…
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…