The Bieberbach conjecture
type: Item
instance of: scholarly article
title: The Bieberbach conjecture
zbMATH Open document ID: 0588.30001
DOI: 10.1007/BF03024170
published in: The Mathematical Intelligencer
publication date: 1985-01-01T00:00:00Z
review text: This is an eminently readable account of the history of progress on the Bieberbach conjecture from Koebe and Bieberbach, through Loewner, Lebedev and Milin, to its recent proof of Louis de Branges - in a most outstanding way. The conjecture was that if the function \(f(z)=z+a_ 2z^ 2+..\). is analytic and univalent (that is, one-one) in \(| z| <1\), then \(| a_ n| \leq n\).
Mathematics Subject Classification ID: 30-03
Mathematics Subject Classification ID: 30C50
Mathematics Subject Classification ID: 30C55
Mathematics Subject Classification ID: 01A65
zbMATH DE Number: 3944198
zbMATH Keywords: Loewner chains
zbMATH Keywords: Bieberbach conjecture
Wikidata QID: Q123181442
author: Christian Pommerenke
reviewed by: David A. Brannan
MaRDI profile type: Publication
cites work: Positive Jacobi Polynomial Sums, II
cites work: A simple proof of the Bieberbach conjecture
cites work: Q3755717
Recommended article: The Bieberbach Conjecture
Recommended article: Q3741860
Recommended article: Q3984315
Recommended article: Q3692004
Recommended article: Q4255124
Recommended article: Q4843481
Recommended article: Q3137321
Recommended article: Bressoud's conjecture
Recommended article: A proof of the Bieberbach conjecture
Recommended article: Bazzoni's conjecture
description: scientific article; zbMATH DE number 3944198