7 papers · 1 filter
Bohr type inequalities with one parameter for the class of self analytic maps on unit disc
Goutam Haldar, Rakesh Sarkar, Sujoy Majumder +1
We investigate Bohr-type inequalities for bounded analytic functions, particularly in the presence of a parameter or under convex combination structures. Most of our findings are s…
Coefficient Problems for a Ma-Minda Convex Class Associated with the Normalized Arcsine Mapping
Shantanu Panja, Abhijit Banerjee, Jhilik Banerjee +1
Let denote the Ma--Minda subclass of convex functions generated by the normalized arcsine mapping For this family, we develop a…
Multidimensional analogues of the improved Bohr's inequality for shifted polydisks
Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee +1
In this article, we investigate the Bhor phenomenon for holomorphic functions defined on a general simply connected domain in . We improve the existing results Evdord…
On a class of pluriharmonic mappings in the unit polydisk
Sujoy Majumder, Goutam Haldar, Abhijit Banerjee +1
In this paper, we introduce and study the class of normalized pluriharmonic mappings, characterized by a suitable bound on their second-order par…
Finite-Order Entire Solutions to Fermat-Type Partial Differential-Difference Systems in
Sujoy Majumder, Jhilik Banerjee, Abhijit Banerjee +1
The primary objective of this paper is to determine the existence and explicit form of finite-order entire solutions in of the following system of Fermat-type partia…
Rigidity of entire functions sharing a finite set with their partial derivatives in C^n
Sujoy Majumder, Abhijit Banerjee, Shantanu Panja
This paper investigates certain classes of entire functions in C^n that, together with their partial derivatives, share a finite set consisting of three elements. By employing norm…