16 papers
Estimates for a Parameterized Hankel Functional of Starlike Mappings of Order and Quasi-Convex Mappings of Type in Complex Banach Spaces
Sujoy Majumder, Abhijit Banerjee, Shantanu Panja +1
In this paper, we introduce and investigate a parameterized Hankel-type functional which reduces to the classical second-order Han…
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…
Coefficient estimates and Bohr phenomenon for pluriharmonic mappings in the polydisc
Sujoy Majumder, Abhijit Banerjee, Shantanu anja +1
We introduce the class of normalized pluriharmonic mappings in the setting of several complex variables. This class extends the har…
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 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…
Logarithmic coefficients for exponential classes of starlike and convex functions
Shantanu Panja, Sujoy Majumder, Abhijit Banerjee +1
In this paper, we investigate two subclasses of univalent functions associated with the exponential mapping defined via the subordination conditions $\fra…
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…
The Yang-Hua theorems in several complex variables
Abhijit Banerjee, Sujoy Majumder, Debabrata Pramanik +1
In this paper, we investigate meromorphic solutions in of the nonlinear differential equation \[\displaystyle f^n\partial_u(f)g^n\partial_u(g)=1,\] where $\partial_u…
Uniqueness of first derivatives and differences in meromorphic functions and the characterization of entire function periodicity
Abhijit Banerjee, Sujoy Majumder, Nabadwip Sarkar
The objective of the paper is twofold. The first objective is to study the uniqueness problem of meromorphic function when shares two distinct finite values $a_…