On the growth of nonvanishing analytic functions (Q1572841)
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scientific article; zbMATH DE number 1484682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the growth of nonvanishing analytic functions |
scientific article; zbMATH DE number 1484682 |
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On the growth of nonvanishing analytic functions (English)
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26 August 2001
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In this article by a new and simple method the authors derive new and old coefficient bounds and distortion theorems for functions \(G(z)\) analytic in the unit disk and satisfying \[ \sup_{|z|<1}|G(z)|(1-|z|^2)^{\alpha}\leq 1 \] for some \(\alpha\geq 0\).
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analytic functions
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coefficient bounds
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distortion theorems
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