56 citations · 367 across the 127 of their papers we have counts for
129 papers · 1 filter
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}…