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ArticleOriginal scientific text

Title

Harmonic mappings in the exterior of the unit disk

Authors ,

Abstract

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∑n=1∞np(|an|+|bn|)≤1. 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.

Keywords

ENG
Harmonic mapping, meromorphic, quasiconformal extension, radius of convexity, radius of univalence

Bibliography

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Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2010/54/1
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Main language of publication
English
Published
2010
Published online
2016-07-29

DOI: 10.17951/a.2010.54.1.63-73

Exact and natural sciences