13 citations · 26 across the 9 of their papers we have counts for
10 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…
Schwarz-Pick type lemma and Landau type theorem for -harmonic mappings
Vibhuti Arora, Jiaolong Chen, Shankey Kumar +1
The aim of this paper is twofold. First, we obtain a Schwarz-Pick type lemma for the -harmonic mapping , where and $p\in[1,\…
The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
Shankey Kumar, Saminathan Ponnusamy, G. Brock Williams
In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach s…
Multi-dimensional Bohr radii of Banach space valued holomorphic functions
Shankey Kumar, Ramesh Manna
In this article, we study the multi-dimensional Bohr radii of holomorphic functions defined on the Banach sequence spaces with values in the Banach spaces. For the case of finite d…
Asymptotic value of the multidimensional Bohr radius
Vibhuti Arora, Shankey Kumar, Saminathan Ponnusamy
This article determines the exact asymptotic value of the Bohr radii and the arithmetic Bohr radii for the holomorphic functions defined on the unit ball of the space an…
A generalization of the Bohr inequality for bounded analytic functions on simply connected domains and its applications
Shankey Kumar
Bohr's classical theorem and its generalizations are now active areas of research and have been the source of investigations in numerous function spaces. In this article, we study…