An estimate for a functional in the class of star-shaped functions (Q1588986)
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scientific article; zbMATH DE number 1541431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An estimate for a functional in the class of star-shaped functions |
scientific article; zbMATH DE number 1541431 |
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An estimate for a functional in the class of star-shaped functions (English)
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1 March 2001
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In this article the authors improve results on bounds for \({|zf'(z)|\over f(z)}\) depending on \(\ln |f{(z)\over z}|\), where \(f\) is starlike with respect to zero is the unit disk \(E=\{z\mid |z|<1\}\) s.t. \(f(0)=0\), \(f'(0)=1\).
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starlike functions
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bounds for derivative
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depending on the function
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sharp estimates
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0.8038957118988037
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