%0 Journal Article
%T Harmonic mappings in the exterior of the unit disk
%A Jaros aw Widomski
%A Magdalena Gregorczyk
%J Annales UMCS, Mathematica
%D 2010
%I 
%R 10.2478/v10062-010-0005-y
%X In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition . We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.
%K Harmonic mapping
%K meromorphic
%K quasiconformal extension
%K radius of convexity
%K radius of univalence
%U http://versita.metapress.com/content/7615875302234774/?p=b3f756df0be740eaa65748d254a71921&pi=4