THE RADIUS OF UNIVALENCE OF CERTAIN ANALYTIC FUNCTIONS

mains D(f). We denote by (C), (S*), and (K) the subclasses of (S) where D(f) are, respectively, close-to-convex, starlike with respect to the origin, and convex. It follows that (K) C(S*) C(C) C(S). Let (P) denote the class of functions p(z) which are regular and satisfy p(O)=1, Re p(z)>O, for z in E. In [2] the following theorem was proven.