Meromorphic Functions Partially Share Three Valueswith Their Difference Operators

Citation:

Feng Lv,Zhenliu YANG.Meromorphic Functions Partially Share Three Valueswith Their Difference Operators[J].Chinese Annals of Mathematics B,2026,(2):421~428
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Authors:

Feng Lv; Zhenliu YANG

Foundation:

Natural Science Foundation of Shandong Province (No. ZR2022MA014)
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

Classification:

30D30, 39A10
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