Two-sided estimate of univalence domains for holomorphic mappings of the unit disk into itself keeping its diameter

DOI10.3103/S1066369X19070090zbMath1433.30061OpenAlexW2969646613MaRDI QIDQ2286958

O. S. Kudryavtseva, Alexei P. Solodov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19070090

zbMATH Keywords

fixed pointangular derivativedomain of univalenceholomorphic selfmappings of the disk

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (1)

Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter

Cites Work

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• Holomorphic mappings of a strip into itself with bounded distortion at infinity
• Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points
• Holomorphic mappings of the unit disc into itself with two fixed points

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