Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Ruscheweyh's univalence criterion and quasiconformal extensions
Ikkei Hotta
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2010 年 33 巻 3 号 p. 446-456

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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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© 2010 Department of Mathematics, Tokyo Institute of Technology
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