| Set Sharing Results for Derivatives of Meromorphic Functions |
| Received:October 23, 2021 Revised:January 12, 2022 |
| Key Words:
meromorphic function shared set uniqueness theorem
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11801291) and the Natural Science Foundation of Fujian Province (Grant Nos.2019J01672; 2020R0039). |
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| Abstract: |
| In this paper, we investigate the uniqueness of the derivatives of meromorphic functions sharing two different sets, and obtain the result that if two transcendental meromorphic functions $f$ and $g$ satisfy $\overline{E}_{f^{(k)}}(S)=\overline{E}_{g^{(k)}}(T)$, then $f^{(k)}=Ag^{(k)}$, where $S$, $T$ are two finite sets and $A$ is a nonzero constant. In particular, $k=0$ implies $f=Ag$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.06.004 |
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