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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Univalent harmonic mappings on $ \Delta=\{z\colon\ \vert z\vert >1\}$


Author: Sook Heui Jun
Journal: Proc. Amer. Math. Soc. 119 (1993), 109-114
MSC: Primary 30C55; Secondary 30C75, 42A16
MathSciNet review: 1148026
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Abstract: The purpose of this paper is to study univalent harmonic functions defined in $ \Delta = \{ z:\vert z\vert > 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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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1148026-3
PII: S 0002-9939(1993)1148026-3
Article copyright: © Copyright 1993 American Mathematical Society