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Piggyback-Dualitäten

Published online by Cambridge University Press:  17 April 2009

B.A. Davey  and
H. Werner
B.A. Davey
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria 3083, Australia
H. Werner
Affiliation:
FB.17 - Mathematik GHK Universität, D-3500 Kassel, West Germany.
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Abstract

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For the class of meromorphically starlike functions of prescribed order, the concept of type has been introduced. A characterization of meromorphically starlike functions of order α and type β has been obtained when the coefficients in its Laurent series expansion about the origin are all positive. This leads to a study of coefficient estimates, distortion theorems, radius of convexity estimates, integral operators, convolution properties et cetera for this class. It is seen that the class considered demonstrates, in some respects, properties analogous to those possessed by the corresponding class of univalent analytic functions with negative coefficients.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 1 , August 1985 , pp. 1 - 32
Copyright
Copyright © Australian Mathematical Society 1985

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