Some sufficient conditions for the univalence of an integral operator

2012/04/20 by Halit Orhan, Orhan, Halit, Dorina Răducanu +3
Mathematics · #30C45 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C45

paper · pdf · doi:10.48550/arxiv.1204.4545

6 pages, submitted a journal

arxiv created 2013/04/30 · arxiv updated 2013/05/01

Abstract

Making use of the method of subordination chains, we obtain some sufficient conditions for the univalence of an integral operator. In particular, as special cases, our results imply certain known univalence criteria. A refinement to a quasiconformal extension criterion of the main result, is also obtained.

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