A sufficient condition for starlikeness of order \(\alpha\) (Q1607778)
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scientific article; zbMATH DE number 1780295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A sufficient condition for starlikeness of order \(\alpha\) |
scientific article; zbMATH DE number 1780295 |
Statements
A sufficient condition for starlikeness of order \(\alpha\) (English)
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13 August 2002
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Summary: We obtain a sufficient condition for starlikeness of order \(\alpha, | f'(z) - \lambda(f(z)/z) + \lambda - 1| < M = M_n(\lambda,\alpha)\), where \(\lambda \in [0,1], \alpha \in [0,1)\) and the function \(f(z) = z + a_{n + 1}z^{n+1} + \cdots\) is analytic in the unit disc \(U\).
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