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A Generalization of Ruscheweyh's Univalence Criterion

✍ Scribed by Horiana Ovesea

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 81 KB
Volume: 258
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7362

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✦ Synopsis

In this paper we obtain, by the method of subordination chains, a sufficient condition for the analyticity and the univalence of the functions defined by an integral operator. In particular cases, I find the well-known conditions for univalency established by Ruscheweyh [7], Ahlfors [1], Becker [2], and Lewandowski [3].

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