Schwarz's lemma and estimates of coefficients in the case of an arbitrary set of boundary fixed points

DOI10.1134/S0001434621030378zbMath1469.30054OpenAlexW3177846566WikidataQ124820429 ScholiaQ124820429MaRDI QIDQ2037713

O. S. Kudryavtseva

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621030378

zbMATH Keywords

fixed pointsangular derivativeSchwarz's lemmacoefficient estimates

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (2)

Exact regions of mutual variation of coefficients of holomorphic self-maps of a disc with fixed points ⋮ Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points

Cites Work

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• The Schwarz inequality on the boundary for functions regular in the disk
• Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points
• An analog of the Schwarz lemma for locally quasiconformal automorphisms of the unit disk
• The Bombieri problem for bounded univalent functions
• The Schwarz lemma at the boundary
• Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk
• Value regions of univalent self-maps with two boundary fixed points
• Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter
• Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points
• The Schwarz Lemma: Rigidity and Dynamics
• Holomorphic mappings of the unit disc into itself with two fixed points
• Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition
• Schwarz-Pick Type Inequalities

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