7 papers
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 ar…
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…
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…
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}…
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^{(…
Estimation for the logarithmic partial derivative and Wiman-Valiron theory in several complex variables
Junfeng Xu, Sujoy Majumder, Nabadwip Sarkar
The first objective of the paper is to estimate logarithmic partial derivative for meromorphic functions in several complex variables. Our estimations for logarithmic partial deriv…