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Sharp norm estimate of Schwarzian derivative for a class of convex functions

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Publication:3079971
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DOI10.4064/AP101-1-8zbMath1220.30065arXiv1102.0338OpenAlexW2963278381MaRDI QIDQ3079971

Toshiyuki Sugawa, Stanislawa Kanas

Publication date: 4 March 2011

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0338


zbMATH Keywords

quasiconformal extensionuniformly convex functionstrongly convex functionsharp norm estimate for the Schwarzian derivative


Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Teichmüller theory for Riemann surfaces (30F60)


Related Items (5)

Coefficient and pre-Schwarzian norm estimates for a class of generalized doubly close-to-convex functions ⋮ Schwarzian norm estimate for functions in Robertson class ⋮ Schwarzian norm estimates for some classes of analytic functions ⋮ A study of the higher-order Schwarzian derivatives of Hirotaka Tamanoi ⋮ Schwarzian derivative for convex mappings of order \(\alpha\)







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