3 papers
math.CV2025
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…
math.CV2025
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…
math.CV2025
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…