On the Coefficient Problem of Meromorphic Harmonic Mappings

Abstract

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.