Normality of meromorphic functions with multiple zeros and shared values (Q1869005)
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scientific article; zbMATH DE number 1895750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normality of meromorphic functions with multiple zeros and shared values |
scientific article; zbMATH DE number 1895750 |
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Normality of meromorphic functions with multiple zeros and shared values (English)
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9 April 2003
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The author generalizes considerably theorems of \textit{W. Schwick} [Arch. Math. 59, 50--54 (1992; Zbl 0758.30028)] and \textit{X. C. Pang} and \textit{L. Zalcman} [ Bull. Lond. Math. Soc. 32, No. 3, 325--331 (2000; Zbl 1030.30031)] according to which a certain sharing of values of \(f\) and \(f'\) in families of meromorphic functions implies normality. Here \(f'\) is replaced by certain differential polynomials.
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meromorphic function
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differential polynomial
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shared value
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normality
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0.9156826734542848
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0.911158800125122
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