S. Ponnusamy

activity

20082026

most citedOn the Bohr inequality

56 citations · 367 across the 127 of their papers we have counts for

collaborators

Showing 2017 · math.CVShow all

19 papers · 2 filters

math.CV2017

Improved Bohr's inequality for locally univalent harmonic mappings

Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila

We prove several improved versions of Bohr's inequality for the harmonic mappings of the form $f = h + g$ , where $h$ is bounded by 1 and $∣ g^{'} (z) ∣ \leq ∣ h^{'} (z) ∣$ . The improvement…

math.CV2017

Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings

Zayid Abdulhadi, Yusuf Abu Muhanna, Saminathan Ponnusamy

In this paper, we shall discuss the family of biharmonic mappings for which maximum principle holds. As a consequence of our study, we present Schwarz Lemma for the family of bihar…

math.CV2017

Coefficient problems on the class $U (λ)$

Saminathan Ponnusamy, Karl-Joachim Wirths

For $0 < λ \leq 1$ , let $U (λ)$ denote the family of functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ analytic in the unit disk $\ID$ satisfying the condition $\left |\left (\fr…

math.CV2017

Bohr radius for locally univalent harmonic mappings

Ilgiz R Kayumov, Saminathan Ponnusamy, Nail Shakirov

We consider the class of all sense-preserving harmonic mappings $f = h + g$ of the unit disk $\ID$, where $h$ and $g$ are analytic with $g (0) = 0$ , and determine the Bohr rad…

math.CV2017★ 25 cited

Bohr--Rogosinski radius for analytic functions

Ilgiz R Kayumov, Saminathan Ponnusamy

There are a number of articles which deal with Bohr's phenomenon whereas only a few papers appeared in the literature on Rogosinski's radii for analytic functions defined on the un…

math.CV2017★ 2 cited

Bohr's inequality for analytic functions $\sum_{k} b_{k} z^{k p + m}$ and harmonic functions

Ilgiz R Kayumov, Saminathan Ponnusamy

We determine the Bohr radius for the class of all functions $f$ of the form $f (z) = \sum_{k = 1}^{\infty} a_{k p + m} z^{k p + m}$ analytic in the unit disk $∣ z ∣ < 1$ and satisfy the condition $…

Improved Bohr's inequality for locally univalent harmonic mappings

Dirichlet problem, Univalency and Schwarz Lemma for Biharmonic Mappings

Coefficient problems on the class U(λ)

Bohr radius for locally univalent harmonic mappings

Bohr--Rogosinski radius for analytic functions

Bohr's inequality for analytic functions ∑k​bk​zkp+m and harmonic functions

Coefficient problems on the class $U (λ)$

Bohr's inequality for analytic functions $\sum_{k} b_{k} z^{k p + m}$ and harmonic functions