6 papers · 1 filter
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…
Finite Order Transcendental Entire Solutions of Coupled Fermat-Type Difference Equations in Several Complex Variables
Jhilik Banerjee, Abhijit Banerjee
Motivated by recent developments in complex difference equations and Nevanlinna theory in several complex variables, we investigate finite-order transcendental entire solutions of…
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…
Meromorphic functions and linearization phenomena in partial differential equations
Sujoy Majumder, Debabrata Pramanik, Jhilik Banerjee
In this paper, we investigate meromorphic solutions of certain nonlinear partial differential equations in several complex variables involving differential and functional operators…
Borel exceptional values in several complex variables and their applications to shared values of shifts and difference operators
Abhijit Banerjee, Sujoy Majumder, Jhilik Banerjee
In this paper, we investigate shared value problems for shifts and higher-order difference operators of meromorphic and entire functions in several complex variables. Using Nevanli…