Sufficient conditions for univalence and quasiconformal extensions

Murat Çağlar () and Halit Orhan ()
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Murat Çağlar: Kafkas University
Halit Orhan: Atatürk University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 1, 41-50

Abstract: Abstract In this paper, we obtain some sufficient conditions for the univalence. In particular, as special cases, our results imply certain known univalence criteria. Also, we refine the result to a quasiconformal extension criterion with the help of Becker’s method.

Keywords: Univalent function; univalence condition; Loewner chain; quasiconformal extension (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0106-y

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