On a subclass of close-to-convex functions

Abstract

We note that the class K(O, 0, 0, 0) constitutes a subclass introduced by Bazilevic [3J of the class of close-to-convex functions with the classical normalization. In this note we give a useful representation formula for members of S(p, iP) and we determine the sharp radius of convexity for the functions fez) EK()., a, (3, iP). Finally we establish the sharp upper bound and lower bound of 11'(z) I if fez) EK()., a, (3, iP).