Uniqueness of entire functions concerning their linear differential polynomials in shift

TL;DR

This paper studies the uniqueness of entire functions based on their linear differential polynomials in shift, providing new generalized results that extend previous findings.

Contribution

It introduces three new theorems that significantly generalize earlier results on the uniqueness of entire functions related to their differential polynomials in shift.

Findings

Three new theorems on uniqueness

Generalization of previous results

Improved conditions for entire functions

Abstract

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 generalize the recent result due to Qi (Ann. Polon. Math., 102 (2011), 129-142.) in a large extend.