Ruscheweyh's univalence criterion and quasiconformal extensions

Details Ruscheweyh's univalence criterion and quasiconformal extensions Ruscheweyh's univalence criterion and quasiconformal extensions

2009-10-25

arxiv.org/abs/0910.4744v3

Mathematics

Complex Variables

10pages

Scientific paper

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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