Abstract
We are interested in finding the sufficient conditions on A, B, lambda, b and c which ensure that the generalized Bessel functions u(lambda) := u(lambda),(b),(c) satisfies the subordination u(lambda) (z) (sic) (1+ Az)/(1+ Bz). Also, conditions for which u(lambda) (z) to be Janowski convex, and zu'(lambda) (z) to be Janowski starlike in the unit disk D = {z is an element of C : vertical bar z vertical bar < 1} are obtained.