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Shared values and normal families - MaRDI portal

Shared values and normal families (Q2779062)

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scientific article; zbMATH DE number 1723921
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Shared values and normal families
scientific article; zbMATH DE number 1723921

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    28 August 2002
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    Shared values and normal families (English)
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    Summery: The following results are proved: Let \(F\) be a family of holomorphic functions in a domain \(G\), and for each \(f\in F\), find its derivative \(f'\) sharing the value I CM in \(G\). If \(\overline N(r,1/f') <\lambda T(r,f)\) for \(\lambda\in (0,1/4)\), then the family \(F\) is normal in \(G\).
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