From the 3 of 7 linked papers with an AI index.
7 papers
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
The paper studies coefficient bounds and related functionals for a Ma‑Minda subclass of convex functions defined via the normalized arcsine mapping, using subordination and Carathé…
Multidimensional analogues of the improved Bohr's inequality for shifted polydisks
Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee +1
The paper extends Bohr-type inequalities to holomorphic and pluriharmonic functions on general simply connected domains and shifted polydisks in several complex variables.
On a class of pluriharmonic mappings in the unit polydisk
Sujoy Majumder, Goutam Haldar, Abhijit Banerjee +1
The paper defines a new class of normalized pluriharmonic mappings in the unit polydisk, relates it to holomorphic functions, and derives sharp coefficient bounds, growth estimates…
A Complete Characterization of Finite-Order Entire Solutions to Fermat-Type Partial Differential-Difference Systems in
Sujoy Majumder, Jhilik Banerjee, Abhijit Banerjee
The primary objective of this paper is to determine the explicit existence form and structure of finite-order entire solutions in of the following system of Fermat-t…
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…