Functions starlike with respect to other points

Abstract

In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p≤ββ, 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 β
• functions starlike with respect to symmetrical points
• close-to-convex
• integral operators.