On the uniqueness of meromorphic functions that share two small functions \(CM\) and three other small functions in the sense of \(\overline{E}_k (\beta,f)=\overline{E}_k (\beta,g)\) (Q2748844)
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scientific article; zbMATH DE number 1663466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of meromorphic functions that share two small functions \(CM\) and three other small functions in the sense of \(\overline{E}_k (\beta,f)=\overline{E}_k (\beta,g)\) |
scientific article; zbMATH DE number 1663466 |
Statements
21 July 2002
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meromorphic function
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small functions
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uniqueness
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On the uniqueness of meromorphic functions that share two small functions \(CM\) and three other small functions in the sense of \(\overline{E}_k (\beta,f)=\overline{E}_k (\beta,g)\) (English)
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The author proves the following uniqueness theorem: If two meromorphic functions \(f\) and \(g\) share two small functions counting multiplicities, and three other small functions in the sense of \({\overline E}_{k)}(\beta, f) = {\overline E}_{k)}(\beta, g) \) for some \(k \geq 12\), then \(f\equiv g\).
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