On certain subclass of analytic functions (Q1103749)

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scientific article; zbMATH DE number 4053996
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On certain subclass of analytic functions
scientific article; zbMATH DE number 4053996

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    On certain subclass of analytic functions (English)
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    1988
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    The authors derive a result concerning the class of Bazilevich functions of type \(\beta\) and order \(\alpha\), denoted by A(\(\alpha\),\(\beta)\), defined in the unit disk. They prove that if \(f\in A(\alpha,\beta)\) with \(\alpha >0\) and \(| \beta /\alpha | \leq 1/2\) then f is univalent in the unit disk.
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    Bazilevich functions
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