Meromorphic Functions Partially Share Three Values with Their Difference Operators

Abstract

In this paper, the authors firstly give a simple proof and strengthened version of a uniqueness theorem of meromorphic functions which partially share 0, ∞ CM and 1 IM with their difference operators. In addition, they partially solve a conjecture given by Chen-Yi (2013) and generalize some previous theorems by Chen (2018) and Chen-Xu (2022). Furthermore, the authors obtain a uniqueness result of the k-th derivative of meromorphic functions with its shift, which is a generalization of some previous theorems by Chen-Xu (2022), Qi-Li-Yang (2018) and Qi-Yang (2020).

Keywords

Uniqueness / Meromorphic / Difference operator / Shared values / 30D30 / 39A10

References

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