On univalence of the power deformation \( z\left(\frac{f(z)} {z}\right)^c \)

DOI10.1007/S11401-012-0750-ZzbMath1267.30058arXiv1112.6237OpenAlexW2077298920MaRDI QIDQ1938722

Toshiyuki Sugawa, Yong Chang Kim

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.6237

zbMATH Keywords

univalent functionunivalence criterionholomorphic motionquasiconformal extensionGrunsky inequalityquaiconformal extensionunivalence critereon

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (1)

An Extremal Problem for Univalent Functions

Cites Work

• On power deformations of univalent functions
• On the dynamics of rational maps
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
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