On the Coefficient Problem of Meromorphic Harmonic Mappings

In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type.

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Bibliographic Details
Published inDemonstratio mathematica Vol. 47; no. 4; pp. 848 - 853
Main Author Widomski, Jarosław
Format Journal Article
LanguageEnglish
Published De Gruyter Open 01.12.2014
De Gruyter
Subjects
and phrases harmonic meromorphic mapping
coefficient bounds
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Summary:In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type.
ISSN:0420-1213
2391-4661
DOI:10.2478/dema-2014-0068