Explicit quasiconformal extensions and Löwner chains

Explicit quasiconformal extensions and Löwner chains

Ikkei Hotta

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 85, Number 8 (2009), 108-111.

Abstract

In this paper we construct Löwner chains which enable us to derive quasiconformal extension criteria for typical classes of univalnet functions. This method also provides us explicit quasiconformal extensions.

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Primary Subjects: 30C62, 30C45

Keywords: Univalent functions; quasiconformal mapping; Löwner(Loewner) chains

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1254491214
Digital Object Identifier: doi:10.3792/pjaa.85.108
Mathematical Reviews number (MathSciNet): MR2561899

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