%0 Journal Article
%T Functions starlike with respect to other points
%A S. Abdul Halim
%J International Journal of Mathematics and Mathematical Sciences
%D 1991
%I Hindawi Publishing Corporation
%R 10.1155/s0161171291000613
%X In [7], Sakaguchi introduce the class of functions starlike with respect to symmetric points. We extend this class. For p ¡é ¡ë ¡è   2<1, let SS*(   2) be the class of normalised analytic functions f defined in the open unit disc D such that Rezf ¡é ? 2(z)/(f(z) ¡é   ¡¯f( ¡é   ¡¯z))>   2, for some z ¡é ? ¡ë   ¦Ì ¡é ? ¡ëD. In this paper, we introduce 2 other similar classes SC*(   2), SSC*(   2) as well as give sharp results for the real part of some function for f ¡é ? ¡ë   ¦Ì ¡é ? ¡ëSS*(   2), SC*(   2) and SSC*(   2) The behaviour of certain integral operators are also considered.
%K starlike functions of order ¦Â
%K functions starlike with respect to symmetrical points
%K close-to-convex
%K integral operators.
%U http://dx.doi.org/10.1155/S0161171291000613