Qualitative results in the Bombieri problem for conformal mappings

DOI10.1134/S1995080219090178zbMath1439.30037OpenAlexW2977553005MaRDI QIDQ2287670

Yanyan Li

Publication date: 21 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219090178

zbMATH Keywords

maximum principleLoewner equationHamilton functionBombieri conjecture

Mathematics Subject Classification ID

Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

• Unnamed Item
• A problem of Bombieri on univalent functions
• On the Bombieri numbers for the class S
• Univalent functions and integrable systems
• A proof of the Bieberbach conjecture
• Is there a Teichmüller principle in higher dimensions?
• Necessary criteria for the Bombieri conjecture
• On the failure of Bombieri's conjecture for univalent functions
• The Bombieri problem for bounded univalent functions
• Analogy of Bombieri's number for bounded univalent functions
• On the local maximum property of the Koebe function
• Pontryagin's maximum principle in geometric function theory
• On support points of univalent functions and a disproof of a conjecture of Bombieri
• SETS OF VALUES OF SYSTEMS OF FUNCTIONALS IN CLASSES OF UNIVALENT FUNCTIONS
• A Variation of the Koebe Mapping in a Dense Subset of S
• On the local extremum property of the Koebe function
• Some more counterexamples for Bombieri's conjecture on univalent functions

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