Univalence and quasiconformal extension of an integral operator
Complex Variables
2016-07-08 v1
Abstract
In this paper we give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker's method. Further, new univalence criteria and the significant relationships with other results are given. A number of known univalence conditions would follow upon specializing the parameters involved in our main results.
Keywords
Cite
@article{arxiv.1607.02098,
title = {Univalence and quasiconformal extension of an integral operator},
author = {S. Kanas and E. Deniz and H. Orhan},
journal= {arXiv preprint arXiv:1607.02098},
year = {2016}
}