Ruscheweyh's univalence criterion and quasiconformal extensions
Hotta, Ikkei
Kodai Math. J., Tome 33 (2010) no. 1, p. 446-456 / Harvested from Project Euclid
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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.
Publié le : 2010-10-15
Classification:  
@article{1288962552,
     author = {Hotta, Ikkei},
     title = {Ruscheweyh's univalence criterion and quasiconformal extensions},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 446-456},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288962552}
}

Hotta, Ikkei. Ruscheweyh's univalence criterion and quasiconformal extensions. Kodai Math. J., Tome 33 (2010) no. 1, pp.  446-456. http://gdmltest.u-ga.fr/item/1288962552/