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On Logarithmic Derivatives of Functions in a Class of Starlike Mappings

Published online by Cambridge University Press:  20 November 2018

Alan D. Gluchoff
Alan D. Gluchoff*
Affiliation:
Villanova University Villanova, Pennsylvania 19085 U.S.A.
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Abstract

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The purpose of this paper is to prove some facts about integral means of (d2/dz2)(log[f(z)/z])—or equivalently f″/f, for f in a class of starlike mappings of a "singular" nature. In particular it is noted that the Koebe function is not extremal for the Hardy means Mp(r,f″/f) for functions in this class.

Keywords

30C45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 38 - 44
Copyright
Copyright © Canadian Mathematical Society 1993

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