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Canonical point mappings in

Published online by Cambridge University Press:  17 April 2009

Zayid Abdulhadi  and
Walter Hengartner
Zayid Abdulhadi
Affiliation:
Department of Mathematical Sciences, KFUPM, Dhahran 31261, Saudi Arabia, e-mail: [email protected]
Walter Hengartner
Affiliation:
Département des Mathématiques et Statistiques, Université Laval, Québec, Canada, e-mail: [email protected]
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Abstract

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We give a complete characterisation of univalent logharmonic mappings from the domain D of such that has countable many components onto where pj is a singleton in C.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 239 - 242
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Abdulhadi, Z. and Bshouty, D., ‘Univalent Mappings in HH’ Trans. Amer. Math. Soc. 305 (1988), 841–849.Google Scholar
[2]Duren, P. and Hengartner, W., ‘Harmonic mappings of multiplty connected domains’, (preprint).Google Scholar
[3]Hengartner, W. and Schober, G., ‘Univalent harmonic mappings’, Trans. Amer. Math. Soc. 399 (1987), 1–31.CrossRefGoogle Scholar