arXiv:1204.4545 Abstract | arXiv Analytics

arXiv:1204.4545 [math.CV]Abstract References Reviews Resources

Some sufficient conditions for the univalence of an integral operator

Halit Orhan, Dorina Răducanu, Murat Çağlar

Published 2012-04-20, updated 2013-04-30Version 2

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.

Comments: 6 pages, submitted a journal

Categories: math.CV

Subjects: 30C45

Keywords: integral operator, sufficient conditions, quasiconformal extension criterion, subordination chains, main result

Related articles: Most relevant | Search more

arXiv:1607.02098 [math.CV] (Published 2016-07-07)

Univalence and quasiconformal extension of an integral operator

S. Kanas, E. Deniz, H. Orhan

arXiv:1208.2569 [math.CV] (Published 2012-08-13)

Some generalizations on the univalence of an integral operator and quasiconformal extensions

Murat Çağlar, Halit Orhan

arXiv:2211.06424 [math.CV] (Published 2022-08-26)