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Univalent Harmonic Ring Mappings Vanishing on the Interior Boundary

Published online by Cambridge University Press:  20 November 2018

Walter Hengartner  and
Jan Szynal
Walter Hengartner
Affiliation:
Département de Mathématiques Université LavalQuébec G1K 7P4
Jan Szynal
Affiliation:
Département de Mathématiques Université LavalQuébec G1K 7P4
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Abstract

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We give a characterization of univalent positively oriented harmonic mappings ƒ defined on an exterior neighbourhood of the closed unit disk { z: | z| ≤1} such that .

Keywords

30C55
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 2 , 01 April 1992 , pp. 308 - 323
Copyright
Copyright © Canadian Mathematical Society 1992

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