The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures
type: Item
instance of: scholarly article
title: The L. de Branges proof of the I. M. Milin and L. Bieberbach conjectures
zbMATH Open document ID: 0624.30024
DOI: 10.1007/BF00970862
author: B. George
published in: Siberian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 30C50
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 30C75
zbMATH DE Number: 4012982
zbMATH Keywords: Bieberbach conjecture
zbMATH Keywords: Lebedev-Milin inequalities
zbMATH Keywords: coefficient estimates
Wikidata QID: Q123226077
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4012982