56 citations · 367 across the 127 of their papers we have counts for
9 papers · 2 filters
Linear measure and -quasiconformal harmonic mappings
Shaolin Chen, Gang Liu, Saminathan Ponnusamy
In this paper, we investigate the relationships between linear measure and harmonic mappings.
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…
Compositions of polyharmonic mappings
Gang Liu, Saminathan Ponnusamy
The paper is devoted to the study of compositions of polyharmonic mappings in simply connected domains. More precisely, we determine necessary and sufficient conditions of polyharm…
Univalency of convolutions of univalent harmonic right half-plane mappings
Zhihong Liu, Saminathan Ponnusamy
We consider the convolution of half-plane harmonic mappings with respective dilatations and , where and . We pro…
Absolutely Convex, Uniformly Starlike and Uniformly Convex Harmonic Mappings
Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj, Victor V. Starkov
In this paper, we prove necessary and sufficient conditions for a sense-preserving harmonic function to be absolutely convex in the open unit disk. We also estimate the coefficient…
On relations between the classes and
Milutin Obradović, Saminathan Ponnusamy, Karl-Joachim Wirths
Let denote the family of all functions analytic in the unit disk $\ID$ and satisfying the normalization . Let denote the subclass…