12 papers · 1 filter
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…