Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Regular Papers
A Remark on Löwner's Theorem
Toshiyuki SUGAWA
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Keywords: Univalent function, Möbius transformation, univalence criterion, area theorem
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2012 Volume 18 Issue 1 Pages 19-22

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Abstract
We give a refinement of Löwner's inequality with argument of the equality case. To this end, we establish a complete univalence criterion for meromorphic functions of special type. We also give applications of the refinement.
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© 2012 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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