Univalent harmonic mappings on Δ={𝑧:|𝑧|>1}

Jun, Sook Heui

doi:10.1090/S0002-9939-1993-1148026-3

Univalent harmonic mappings on $\Delta =\{z\colon \ \vert z\vert >1\}$
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Proc. Amer. Math. Soc. 119 (1993), 109-114 Request permission

Abstract:

The purpose of this paper is to study univalent harmonic functions defined in $\Delta = \{ z:|z| > 1\}$ from the point of view of function theory. Estimates are given for all Fourier coefficients in a normalized class of mappings. Some explicit mappings are examined because of their extremal character.

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