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

For complex constants A and B with |B| ≤ 1, A ≠ B, let S*[A,B] be the class consisting of normalized analytic functions f satisfying zf'(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. [ABSTRACT FROM AUTHOR]