On the local extremum property of the Koebe function

DOI10.1017/S030500410300714XzbMath1056.30019OpenAlexW2070270934MaRDI QIDQ4465086

Oliver Roth, Dmitry Vladimirovich Prokhorov

Publication date: 27 May 2004

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410300714x

zbMATH Keywords

univalent functionKoebe functionlocal extremumodd function

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

Notes on the Duren-Leung conjecture ⋮ Value Regions in Classes of Conformal Mappings ⋮ A problem of Bombieri on univalent functions ⋮ On the Bombieri numbers for the class S ⋮ Necessary criteria for the Bombieri conjecture ⋮ The fifth coefficient for bounded univalent functions with real coefficients ⋮ On the failure of Bombieri's conjecture for univalent functions ⋮ Qualitative results in the Bombieri problem for conformal mappings

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