Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points

DOI10.1070/SM9095zbMath1425.30024MaRDI QIDQ5194988

Alexei P. Solodov, O. S. Kudryavtseva

Publication date: 17 September 2019

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

zbMATH Keywords

fixed pointsangular derivativeholomorphic mapdomain of univalence

Mathematics Subject Classification ID

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

Related Items

Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points, Estimate for the domain of univalence in the class of holomorphic self-maps of a disk with two boundary fixed points, Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points, Inequality of Schwarz type for holomorphic self-maps of a disk with fixed points, Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter, Two-sided estimate of univalence domains for holomorphic mappings of the unit disk into itself keeping its diameter, Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points, Generalization of the Landau and Becker-Pommerenke inequalities

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