56 citations · 367 across the 127 of their papers we have counts for
143 papers
On the Boundary Schwarz lemma and the rigidity theorem for certain mappings
Shankey Kumar, Saminathan Ponnusamy
In this article, we characterize the holomorphic mappings from into for . In addition, we give a simple proof…
Stable classes of harmonic mappings
Gang Liu, Saminathan Ponnusamy, Victor V. Starkov
Let denote the set of all sense-preserving harmonic mappings in the unit disk $\ID$, normalized with and . In this p…
Bohr-type inequalities for unimodular bounded analytic functions
Kaixin Chen, Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing in place of the…
Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form , where and are analytic in the…
On Schwarz-Pick type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations
Peijin Li, Yaxiang Li, Qinghong Luo +1
The purpose of this paper is to study the Schwarz-Pick type inequality and the Lipschitz continuity for the solutions to the nonhomogeneous biharmonic equation: , where $g…
An elementary counterexample to a coefficient conjecture
Liulan Li, Saminathan Ponnusamy, Karl-Joachim Wirths
In this article, we consider the family of functions meromorphic in the unit disk $\ID=\{z :\,|z| < 1\}$ with a pole at the point , a Taylor expansion \[f(z)= z+\sum_{k=2}…