A radius problem for functions whose derivative takes values in a half plane (Q1355424)
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scientific article; zbMATH DE number 1013755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A radius problem for functions whose derivative takes values in a half plane |
scientific article; zbMATH DE number 1013755 |
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A radius problem for functions whose derivative takes values in a half plane (English)
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7 October 1997
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The radius of convexity within the class of functions \(f\), analytic in \(U= \{z:|z|<1\}\) \((f(0)=0\), \(f'(0)=1)\) satisfying \(f'(z) \prec {1+Az \over 1-z}\) for complex \(A\), \(|A|\leq 1\), \(A\neq -1\), is obtained.
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radius of convexity
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