On the Coefficient Problem of Meromorphic Harmonic Mappings

• Published in: Demonstratio mathematica Vol. 47; no. 4; pp. 848 - 853
• Main Author: Widomski, Jarosław
• Format: Journal Article
• Language: English
• Published: De Gruyter Open 01.12.2014; De Gruyter
• Subjects: and phrases harmonic meromorphic mapping; coefficient bounds

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.