The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures (Q1092199)
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scientific article; zbMATH DE number 4012982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures |
scientific article; zbMATH DE number 4012982 |
Statements
The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures (English)
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1987
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The author begins with a general introduction to the Bieberbach conjecture and then derives the Lebedev-Milin inequalities with arguments different from the ones used by \textit{L. de Branges} [Acta Math. 154, 137- 152 (1985; Zbl 0573.30014)]. The author states that he wishes to offer a solution that is widely accessible for verification. In addition, the author finds sharp bounds for \(| f^{(n)}(z)|\) \((| z| <1\), \(f\in S)\) and coefficient estimates for the subclass of bounded functions in S.
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Bieberbach conjecture
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Lebedev-Milin inequalities
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coefficient estimates
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