56 citations · 367 across the 127 of their papers we have counts for
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Refinement of the Classical Bohr Inequality
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
The classical inequality of Bohr asserts that if a power series converges in the unit disk and its sum has modulus less than or equal to , then the sum of absolute values of its…
Rotations and convolutions of harmonic convex mappings
Liulan Li, Saminathan Ponnusamy
In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmon…
Extreme points and support points of families of harmonic Bloch mappings
Hua Deng, Saminthan Ponnusamy, Jinjing Qiao
In this paper, the main aim is to discuss the existence of the extreme points and support points of families of harmonic Bloch mappings and little harmonic Bloch mappings. First, i…
Improved Bohr's phenomenon in quasi-subordination classes
Saminathan Ponnusamy, Ramakrishnan Vijayakumar, Karl-Joachim Wirths
Recently the present authors established refined versions of Bohr's inequality in the case of bounded analytic functions. In this article, we state and prove a generalization of th…
On univalent log-harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
We consider the class univalent log-harmonic mappings on the unit disk. Firstly, we obtain necessary and sufficient conditions for a complex-valued continuous function to be starli…
Bohr radius for subordination and -quasiconformal harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
The present article concerns the Bohr radius for -quasiconformal sense-preserving harmonic mappings in the unit disk for which the analytic part…