Radii of Starlikeness, Parabolic Starlikeness and Strong Starlikeness for Janowski Starlike Functions with Complex Parameters

For complex constantsA andB withjBj 1, A6 B, letS [A;B] be the class consisting of normalized analytic functionsf satisfying zf 0 (z) f(z) 1+Az 1+Bz . The radius of starlikeness, the radius of strong-starlikeness, and the radius of parabolic-starlikeness are obtained for functions in S [A;B]. Consequences of these results are also discussed.