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Function classes related to Ruscheweyh derivatives

Part of: Geometric function theory

Published online by Cambridge University Press:  09 April 2009

O. P. Ahuja  and
H. Silverman
O. P. Ahuja
Affiliation:
Department of Mathematics, University of Papua New GuineaPapua, New Guinea
H. Silverman
Affiliation:
Department of Mathematics, College of Charleston Charleston, South Carolina 29424, U.S.A.
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Abstract

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We investigate a family consisting of functions whose convolution with is starlike of order α 0 ≤ α < 1. We determine extreme points, inclusion relations, and show how this family acts under various linear operators.

MSC classification

Secondary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.) 30C55: General theory of univalent and multivalent functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 438 - 444
Copyright
Copyright © Australian Mathematical Society 1989

References

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