28 papers
Bohr-type inequalities for certain integral transforms of operator-valued analytic functions on shifted disc
Goutam Haldar, Kawsar Ali, Sujoy Majumder +1
In this paper, we investigate Bohr-type inequalities for certain integral transforms of some bounded holomorphic operator-valued functions defined on a shifted disc. More precisely…
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…
Coefficient bounds and growth estimates for a class of pluriharmonic mappings in unit polydisk
Sujoy Majumder, Goutam Haldar, Debabrata Pramanik +1
In this paper, we first introduce and study the class of normalized pluriharmonic mappings, characterized by a specific bound on the sum of their…
Uniqueness of entire functions sharing two values with their partial derivative operators
Sujoy Majumder, Debabrata Pramanik, Shantanu Panja
In this paper, we employ the theory of normal families in several complex variables to obtain some uniqueness theorems for entire functions. These results extend the related works…
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…
Sharp Bohr Radii for Schwarz Functions and Directional derivative Operators in \mathbb{C}^n
Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik
This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc $\mathbb{P}Δ(0;1_n)…
On Stable Univalence and Coefficient Estimates for a Class of Pluriharmonic Mappings in Convex Reinhardt Domains
Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik
In this paper, we investigate the geometric properties of complex-valued pluriharmonic mappings defined over convex Reinhardt domains in . We first establish a multid…
Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar
This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc . We…
Multidimensional analogues of the refined Bohr type inequalities
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk .We also prove two…
Meromorphic solutions of a certain type of nonlinear differential equation
Sujoy majumder, Nabadwip Sarkar, Debabrata pramanik
Our paper focuses on investigating the existence and possible forms of solutions to the nonlinear differential equation \beas f^m+\big(Rf^{(k)}\big)^n=Qe^α,\eeas where where , $…
Relationship between the value-sharing behavior of an entire function and its derivative, and the analytic structure of a nonlinear differential equation
Junfeng Xu, Sujoy Majumder, Lata Mahato
In this paper, we study uniqueness problems for entire functions that partially share two values with their higher-order derivatives. The results obtained here both improve and gen…
Multidimensional analogues of the improved Bohr's inequality
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar +1
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk . We also pro…
Solutions of certain Fermat-type partial differential-difference equations
Sujoy Majumder, Debabrata Pramanik
The purpose of this paper is to investigate the non-constant entire as well as meromorphic solutions of the Fermat-type partial differential-difference equation: \[\left(\sum_{j=1}…
On the existence of entire solutions to a system of nonlinear Fermat-type partial differential-difference equations
Junfeng Xu, Sujoy Majumder, Debabrata Pramanik
The aim of this study is to investigate the precise form of finite-order entire solutions to the following system of Fermat-type partial differential-difference equations: \beas \b…
Differential Operators, Multiple Schwarz Functions, and the Bohr Radius of Stable Harmonic Maps
Sujoy Majumder, Nabadwip Sarkar, Molla Basir Ahamed
In this paper, we study the Bohr phenomenon for differential operators and of stable harmonic mappings involving multiple Schwarz functions in , us…
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…
Entire solution of a partial differential equation
Junfeng Xu, Nabadwip Sarkar, Sujoy Majumder
In this paper, using Nevanlinna's value distribution theory of meromorphic functions in several complex variables, we study for the existence of entire solutions in $\mathbb{C}…
On Coefficient problems for classes and
Sujoy Majumder, Nabadwip Sarkar, Molla Basir Ahamed
Logarithmic coefficients play a crucial role in the theory of univalent functions. In this study,we focus on the classes and of starlike and co…
Power of a meromorphic function sharing value with its k-th order directional derivative in C^m
Abjijit Banerjee, Sujoy Majumder, Debabrata Pramanik
In the context of several complex variables, we investigate the uniqueness problem for a power of a meromorphic function that shares a value with its -th order directional deriv…
A Unified Study of Bohr's Inequality for analytic and harmonic mappings on the Unit Disk
Molla Basir Ahamed, Partha Pratim Roy, Sujoy Majumder
We investigate improved forms of the Bohr inequality, using the quantity , for analytic selfmaps in class of , where is the area measure of $…
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_…
Uniqueness of entire function concerning derivatives and shifts
Sujoy Majumder, Nabadwip Sarkar
In the paper, we investigate the uniqueness problem of entire function concerning its derivative and shift and obtain two results. On of our result solves the open problem posed by…
Partial sharing and cross sharing of entire function with its derivative
Sujoy Majumder, Nabadwip Sarkar, Debabrata Pramanik
In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with it's linear differential polynomial and obtain a result, wh…
Meromorphic solution of a certain type of algebraic differential equation
Junfeng Xu, Sujoy Majumder, Nabadwip Sarkar +1
In the paper, we use the idea of normal family to find out the possible solution of the following special case of algebraic differential equation \[P_k\big(z,f,f^{(1)},\ldots, f^{(…