The Bombieri problem for bounded univalent functions

DOI10.1134/S0001434619030040zbMath1429.30024OpenAlexW2944056599WikidataQ127901582 ScholiaQ127901582MaRDI QIDQ2314098

V. G. Gordienko, Dmitry Vladimirovich Prokhorov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030040

zbMATH Keywords

univalent functionPick functionKoebe functionBombieri number

Mathematics Subject Classification ID

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

Related Items (3)

Value Regions in Classes of Conformal Mappings ⋮ Qualitative results in the Bombieri problem for conformal mappings ⋮ Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points

Cites Work

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• A problem of Bombieri on univalent functions
• On the Bombieri numbers for the class S
• A proof of the Bieberbach conjecture
• On the failure of Bombieri's conjecture for univalent functions
• On the local maximum property of the Koebe function
• The coefficients of schlicht functions. II
• On support points of univalent functions and a disproof of a conjecture of Bombieri
• A Variation of the Koebe Mapping in a Dense Subset of S

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