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| Meromorphic Functions Partially Share Three Valueswith Their Difference Operators |
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Citation: |
Feng Lv,Zhenliu YANG.Meromorphic Functions Partially Share Three Valueswith Their Difference Operators[J].Chinese Annals of Mathematics B,2026,(2):421~428 |
| Page view: 88
Net amount: 33 |
Authors: |
Feng Lv; Zhenliu YANG |
Foundation: |
Natural Science Foundation of Shandong Province (No. ZR2022MA014) |
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| 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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