On certain analytic univalent functions (Q5931277)
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scientific article; zbMATH DE number 1590790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain analytic univalent functions |
scientific article; zbMATH DE number 1590790 |
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On certain analytic univalent functions (English)
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29 November 2001
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Jack's Lemma
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The authors made use of Jack's lemma [J. Lond. Math. Soc., II. Ser. 3, 469-474 (1971; Zbl 0224.30026)] to prove some inequalities satisfied by analytic functions subject to the condition NEWLINE\[NEWLINE\left|\frac{z^2f'(z)}{f^2(z)}-1\right|<1-\alpha,\quad 0\leq \alpha<1,\quad|z|<1.NEWLINE\]
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