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Sharing values and normality - MaRDI portal

Sharing values and normality (Q1203539)

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scientific article; zbMATH DE number 119839
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Sharing values and normality
scientific article; zbMATH DE number 119839

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    Sharing values and normality (English)
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    10 February 1993
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    \textit{E. Mues} and \textit{N. Steinmetz} [Manusc. Math. 29, 195-206 (1979; Zbl 0416.30028)] proved that a nonconstant meromorphic function \(f\) in the plane, which shares three complex values with its first derivative, satisfies \(f\equiv f'\). We prove that a family \(F\) of meromorphic functions in a domain \(G\), where every \(f\in F\) shares three fixed complex values with \(f'\), is normal.
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    normal family
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    value sharing
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    Nevanlinna theory
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    meromorphic function
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