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On Logarithmic Derivatives of Functions in a Class of Starlike Mappings
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1993