Functions starlike with respect to other points

In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p≤β<1, let SS*(β) be the class of normalised analytic functions f defined in the open unit disc D such that Rezf′(z)/(f(z)−f(−z))>β, for some z ϵ D. In this paper, we introdu...

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Bibliographic Details
Main Author: Abdul Halim, S.
Format: Article
Published: Hindawi Publishing Corporation 1991
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000613
http://dx.doi.org/10.1155/S0161171291000613
http://eprints.um.edu.my/17454/1/AbdulHalimS_(1991).pdf