Holomorphic endomorphisms of the unit disk with invariant diameter and bounded distortion

DOI10.3103/S1066369X15080058zbMath1339.30010MaRDI QIDQ905078

O. S. Kudryavtseva

Publication date: 14 January 2016

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

zbMATH Keywords

fixed pointsone-parameter semigroupsKoenigs functionfractional iteratesholomorphic endomorphisms of the disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (2)

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

Cites Work

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• Semigroups of analytic functions and composition operators
• FRACTIONAL ITERATES OF FUNCTIONS ANALYTIC IN THE UNIT DISK, WITH GIVEN FIXED POINTS
• One-parameter semigroups of analytic functions, fixed points and the Koenigs function
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• Semigroups of analytic functions in analysis and applications
• Fractional iteration near a fixpoint of multiplier 1.
• Embedding Iterates of Analytic Functions with Two Fixed Points into Continuous Groups

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