Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points

DOI10.3103/s1066369x23050079zbMath1527.30002OpenAlexW4386335612MaRDI QIDQ6064870

O. S. Kudryavtseva

Publication date: 10 November 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x23050079

zbMATH Keywords

Taylor coefficientsbounded holomorphic functions in the disk

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Spaces of bounded analytic functions of one complex variable (30H05)

Cites Work

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• Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points
• Inequality of Schwarz type for holomorphic self-maps of a disk with fixed points
• Recent Advances in Operator-Related Function Theory
• Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk
• Holomorphic mappings of the unit disc into itself with two fixed points