An Upper Bound for the John Constant

DOI10.2307/2044100zbMath0477.30017OpenAlexW4237205137MaRDI QIDQ3934751

Julian Gevirtz

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044100

zbMATH Keywords

John constantnonconstant, analytic and nonunivalent functions in the unit disk

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (8)

Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping ⋮ Becker type univalence conditions for harmonic mappings ⋮ Avkhadiev-Becker type \(p\)-valence conditions for harmonic mappings of a disc ⋮ A conformal invariant for nonvanishing analytic functions and its applications ⋮ Univalence criteria for locally univalent analytic functions ⋮ Sufficient conditions for the finite-valence of analytic functions and their applications ⋮ Avkhadiev-Becker type univalence conditions for biharmonic mappings ⋮ Avkhadiev-Backer type \(p\)-valent conditions for biharmonic functions

Cites Work

• On the John constant
• A criterion for univalency brought up to date

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