Quasiconformal extension of strongly spirallike functions

DOI10.1007/BF03321810zbMath1252.30014arXiv1101.3831OpenAlexW2088231163MaRDI QIDQ428934

Toshiyuki Sugawa

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3831

zbMATH Keywords

quasiconformal mappinglogarithmic spiralLöwner chainspirallike function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Quasiconformal mappings in the complex plane (30C62)

Related Items (5)

Loewner Theory for Quasiconformal Extensions: Old and New ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Chordal Loewner chains with quasiconformal extensions ⋮ On power deformations of univalent functions ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains

Cites Work

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• Explicit quasiconformal extensions for some classes of univalent functions
• A self-duality of strong starlikeness
• Correspondence between spirallike functions and starlike functions
• Löwner chains and quasiconformal extensions
• On Some Classes of Bounded Univalent Functions

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