Some generalizations on the univalence of an integral operator and quasiconformal extensions
Complex Variables
2012-08-14 v1
Abstract
By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator. Also, we refine the result to a quasiconformal extension criterion with the help of Beckers's method.
Keywords
Cite
@article{arxiv.1208.2569,
title = {Some generalizations on the univalence of an integral operator and quasiconformal extensions},
author = {Murat Çağlar and Halit Orhan},
journal= {arXiv preprint arXiv:1208.2569},
year = {2012}
}
Comments
12 pages, submitted to a journal for publication (19 April 2012)