Document Type

Article

Publication Date

1-1-1991

Abstract

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 introduce 2 other similar classes SC*(β), SSC*(β) as well as give sharp results for the real part of some function for f ϵ SS*(β), SC*(β) and SSC*(β) The behaviour of certain integral operators are also considered.

Keywords

Starlike functions of order B, Functions starlike with respect to symmetrical points, Close-to-convex, Integral operators

Publication Title

International Journal of Mathematics and Mathematical Sciences

ISSN

0161-1712

Divisions

MathematicalSciences

Volume

14

Issue

3

Publisher

Hindawi Publishing Corporation

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