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.

Bibliographic Details
Main Author: Widomski Jarosław
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0068/dema-2014-0068.xml?format=INT