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.
@article{bwmeta1.element.doi-10_2478_v10062-010-0005-y,
author = {Jaros\l aw Widomski and Magdalena Gregorczyk},
title = {Harmonic mappings in the exterior of the unit disk},
journal = {Annales UMCS, Mathematica},
volume = {64},
year = {2010},
pages = {63-73},
zbl = {1213.30042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-010-0005-y}
}
Jarosław Widomski; Magdalena Gregorczyk. Harmonic mappings in the exterior of the unit disk. Annales UMCS, Mathematica, Tome 64 (2010) pp. 63-73. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-010-0005-y/
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