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.
Citation
Ikkei Hotta. "Ruscheweyh's univalence criterion and quasiconformal extensions." Kodai Math. J. 33 (3) 446 - 456, October 2010. https://doi.org/10.2996/kmj/1288962552
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