Ruscheweyh's univalence criterion and quasiconformal extensions
2010 年 33 巻 3 号 p. 446-456
詳細
2010 年 33 巻 3 号 p. 446-456
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.
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