Ruscheweyh's univalence criterion and quasiconformal extensions
Complex Variables
2009-11-19 v3 Classical Analysis and ODEs
Abstract
Ruscheweyh extended the work of Becker and Ahlfors on sufficient conditions for a normalized analytic function on the unit disk to be univalent there. In this paper we refine the result to a quasiconformal extension criterion with the help of Becker's method. As an application, a positive answer is given to an open problem proposed by Ruscheweyh.
Keywords
Cite
@article{arxiv.0910.4744,
title = {Ruscheweyh's univalence criterion and quasiconformal extensions},
author = {Ikkei Hotta},
journal= {arXiv preprint arXiv:0910.4744},
year = {2009}
}
Comments
10pages