Explicit quasiconformal extensions and Löwner chains

DOI10.3792/pjaa.85.108zbMath1183.30016OpenAlexW2092986527MaRDI QIDQ1046450

Ikkei Hotta

Publication date: 22 December 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.108

zbMATH Keywords

quasiconformal extensionLöwner chain

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 (15)

On existence of Becker extension ⋮ Univalence criteria for locally univalent analytic functions ⋮ LOEWNER CHAINS AND UNIVALENCE CRITERIA RELATED WITH RUSCHEWEYH AND SĂLĂGEAN DERIVATIVES ⋮ Loewner Theory for Quasiconformal Extensions: Old and New ⋮ Univalence criteria and quasiconformal extensions ⋮ Univalent functions with quasiconformal extensions: Becker’s class and estimates of the third coefficient ⋮ p-Subordination chains and p-valence integral operators ⋮ Chordal Loewner chains with quasiconformal extensions ⋮ Quasiconformal extensions, Loewner chains, and the \(\lambda \)-lemma ⋮ Löwner chains with complex leading coefficient ⋮ Sufficient conditions for univalence and quasiconformal extensions ⋮ Loewner chain and quasiconformal extension of some classes of univalent functions ⋮ Loewner chains with quasiconformal extensions: an approximation approach ⋮ Univalence criteria and quasiconformal extension of a general integral operator ⋮ Some sufficient conditions for the univalence of an integral operator

Cites Work

• Quasiconformal extensions for some geometric subclasses of univalent functions
• An extension of Becker's univalence condition
• Explicit quasiconformal extensions for some classes of univalent functions
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• A note on Bazilevič functions
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