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

DOI10.1070/SM9367zbMath1461.30041OpenAlexW3123531950MaRDI QIDQ5150228

Alexei P. Solodov, O. S. Kudryavtseva

Publication date: 10 February 2021

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

Full work available at URL: https://doi.org/10.1070/sm9367

zbMATH Keywords

fixed pointsangular derivativeholomorphic mapdomain of univalence

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (3)

Estimate for the domain of univalence in the class of holomorphic self-maps of a disk with two boundary fixed points ⋮ Inequality of Schwarz type for holomorphic self-maps of a disk with fixed points ⋮ Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points

Cites Work

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• THE MAIN RESULTS ON SUFFICIENT CONDITIONS FOR AN ANALYTIC FUNCTION TO BE SCHLICHT
• 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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