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On the valence of some classes of harmonic maps

Published online by Cambridge University Press:  24 October 2008

Abdallah Lyzzaik
Abdallah Lyzzaik
Affiliation:
Department of Mathematics, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait
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Abstract

We give examples which (i) disprove a conjecture of Sheil-Small regarding the valence of harmonic mappings of the unit disc to bounded convex domains, and (ii) answer negatively a question of the author regarding the valence of harmonic mappings with polynomial analytic and co-analytic parts.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 2 , September 1991 , pp. 313 - 325
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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