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Certain generalizations of presetarlike functions

Part of: Geometric function theory

Published online by Cambridge University Press:  09 April 2009

H. S. Al-Amiri
H. S. Al-Amiri
Affiliation:
Browling Green State UniversityBrowling Green, Ohio 43403, U.S.A.
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Abstract

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The classes of prestarlike functions Rα, α ≧ – 1, were studied recently by St. Ruscheweyh. The author generalizes and extends these classes. In particular the author obtains the radius of Ra+1 for the class Rα, α ≧ –1.

Keywords

Univalent functionsprestarlike functionHadamard product.

MSC classification

Secondary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 3 , November 1979 , pp. 325 - 334
Copyright
Copyright © Australian Mathematical Society 1979

References

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