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On the valence of some classes of harmonic maps
Published online by Cambridge University Press: 24 October 2008
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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