12 papers
Alpha-convex functions in complex Banach spaces
Janusz Sokol, Sujoy Majumder, Goutam Halder
Let be the unit ball in a complex Banach space . We study biholomorphic mappings of the form for $z \in \ma…
On coefficient theorems for starlike and quasi-convex of type B mappings in complex Banach spaces
Janusz Sokol, Sujoy Majumder, Goutam Haldar
In this paper, we study biholomorphic mappings of the form for , where is a holomorphic functi…
The Fekete-Szegö problem for starlike mappings of order and quasi-convex mappings of type in the unit balls of complex Banach spaces
Sujoy Majumder, Abhijit Banerjee, Goutam Haldar +1
We establish sharp estimates for the generalized Zalcman functional corresponding to the index for normalized starlike mappings of order and normalized quasi-convex mappi…
Rabin Games Revisited
Antonio Di Stasio, Moshe Y. Vardi
Rabin games have their roots in Michael Rabin's seminal work on automata over infinite trees and form a classical model for infinite-round games with ω-regular winning conditions.…
Coefficient estimates and Hankel determinant for the class of leaf shaped starlike function
Shantanu Panja, Abhijit Banerjee, Sujoy Majumder
In this paper, we study a Ma--Minda type subclass of starlike functions associated with the normalized arcsine function Using the Carathéodory function…
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…
On the structure and classification of solutions to certain nonlinear differential equations
Abhijit Banerjee, Sujoy Majumder, Shantanu Panja +1
This paper is devoted to the study of meromorphic solutions of nonlinear differential equations, specifically the equation \[ (f^n)^{(k)}(g^n)^{(k)} = α^2, \] where and are…