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Harmonic typically real mappings

Published online by Cambridge University Press:  24 October 2008

D. Bshouty ,
W. Hengartner  and
O. Hossian
D. Bshouty
Affiliation:
Technion, Haifa, Israel
W. Hengartner
Affiliation:
Université Laval, Québec, Canada
O. Hossian
Affiliation:
Université Laval, Québec, Canada
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Abstract

We give an example of a univalent orientation-preserving harmonic mapping f = h + g¯ defined on the unit disc U which is real on the real axis, satisfies and is not typically real. Furthermore, we give a geometric characterization for univalent, harmonic and typically real mappings.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 4 , May 1996 , pp. 673 - 680
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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