On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators

TL;DR

This paper investigates the uniqueness of entire functions that share small functions with their difference operators, extending previous results to broader cases in complex analysis.

Contribution

It generalizes existing theorems on entire functions sharing small functions with their difference operators, broadening the scope of known results.

Findings

Extended the class of entire functions sharing small functions with difference operators.

Provided new conditions under which such functions are unique.

Generalized previous theorems in the literature.

Abstract

In this paper, we study uniqueness problems for an entire function that shares small functions of finite order with their difference operators. In particular, we give a generalization of results in [2,3,13].