Radii of Convexity and Strong Starlikeness for Some Classes of Analytic Functions

Let f z. be an analytic function with positive real part on Ds z; < z <-14 with f 0.s1, f9 0.)0 which maps the unit disk D onto a region starlike with respect to 1 and symmetric with respect to the real axis. Let ST f. denote the class of analytic functions f z. with f 0.s0sf 9 0.y1 for which zf 9 z.rf z.$f z., z gD. The radius of convexity of order b of uniformly convex functions and the radius of starlikeness of order b of the class ST f. are computed. The radii of strong starlikeness of certain classes of analytic functions are computed.