56 citations
5 papers
On the Bohr inequality
Yusuf Abu Muhanna, Rosihan M. Ali, Saminathan Ponnusamy
The Bohr inequality, first introduced by Harald Bohr in 1914, deals with finding the largest radius , , such that holds whenever $|\su…
Discrete Analogue of Generalized Hardy Spaces and Multiplication Operators on Homogenous Trees
Perumal Muthukumar, Saminathan Ponnusamy
In this article, we define discrete analogue of generalized Hardy spaces and its separable subspace on a homogenous rooted tree and study some of its properties such as completenes…
Distortion and covering theorems of pluriharmonic mappings
Sh. Chen, S. Ponnusamy
In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.
Maximal area integral problem for certain class of univalent analytic functions
Saminathan Ponnusamy, Swadesh Kumar Sahoo, Navneet Lal Sharma
One of the classical problems concerns the class of analytic functions on the open unit disk which have finite Dirichlet integral , where $$Δ(r,f)=\iint_{|z|<r}…
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…