We are interested in finding the sufficient conditions on A, B, λ, b and c which ensure that the generalized Bessel functions u λ := u λ,b,c satisfies the subordination u λ (z) ≺ (1 + Az)/(1 + Bz). Also, conditions for which u λ (z) to be Janowski convex, and zu ′ λ (z) to be Janowski starlike in the unit disk D = {z ∈ C : |z| < 1} are obtained.2010 Mathematics Subject Classification. 34B30, 33C10, 30C80, 30C45.

Abstract. We are interested in finding the sufficient conditions on A , B , λ , b and c which ensure that the generalized Bessel functions u λ := u λ ,b,c satisfies the subordination u λ (z) ≺ (1 + Az)/(1 + Bz) . Also, conditions for which u λ (z) to be Janowski convex, and zu λ (z) to be Janowski starlike in the unit disk D = {z ∈ C : |z| < 1} are obtained.Mathematics subject classification (2010): 34B30, 33C10, 30C80, 30C45.

No abstract

The article investigate the necessary and sufficient conditions for the normalized Bessel-struve kernel functions belonging to the classes T λ (α) , L λ (α). Some linear operators involving the Bessel-Struve operator are also considered.2010 Mathematics Subject Classification. 30C45.