Some generalizations on the univalence of an integral operator and quasiconformal extensions
arXiv:1208.2569
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.
12 pages, submitted to a journal for publication (19 April 2012)