On the Epstein Univalence Criterion

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1986 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 10, pages 143-146 (issn: 0378-6218, eissn: 1420-9012,

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Authors: Pommerenke, Ch.;

doi: 10.1007/bf03322371

On the Epstein Univalence Criterion

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Abstract

A short proof, using Löwner's method, is given to \textit{C. L. Epstein}'s recent univalence criterion [J. Reine Angew. Math. 372, 96-135 (1986; Zbl 0591.30018)] which contains the well known criteria of Nehari and Becker as special cases.

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University of Technology
Russian Federation

Keywords

General theory of univalent and multivalent functions of one complex variable, univalence criterion, Löwner's method

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