16 papers
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…
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…
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 , $…
Uniqueness of entire functions concerning their linear differential polynomials in shift
Jeet Sarkar, Debabrata Pramanik
In the paper, we investigate the uniqueness problem of entire functions concerning their linear differential polynomial in shift and obtain three results which improve and generali…
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…
On the two conjectures
Nabadwip Sarkar, Debabrata Pramanik, Lata Mahato
In this paper, we investigate the uniqueness problem of entire functions that share an entire function with their higher-order difference operators. We obtain two results that conf…
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…
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…
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…
Entire solutions of a certain type differential-difference equation and differential-difference analogue of Bruck conjecture
Junfeng Xu, Sujoy Majumder, Debabrata Pramanik
In the paper, we find out the precise form of the finite order entire solutions of the following differential-difference equation \[f^{(k)}(z)=\sideset{}{^n_{j=0}}{\sum} a_j f(z+jc…
Bruck conjecture for solutions of first-order partial differential equations in Cm
Sujoy Majumder, Nabadwip Sarkar, Debabrata Pramanik
In this paper, we study the Brück conjecture \cite{Bruck-1996} by interpreting it through solutions of first-order partial differential equations in several complex variables. Our…
Study on the certain type of nonlinear algebraic partial differential equation in
Sujoy Majumder, Debabrata Pramanik, Nabadwip Sarkar
In the paper, using Nevanlinna's value distribution theory of meromorphic functions in , we study for the existence of entire solutions in of the f…