A certain subclass of analytic functions involving operators of fractional calculus

Making use of certain operators of fractional calculus, we introduce a new class Tμ(n,λ,α) of functions which are analytic and univalent in the open unit disk u and obtain a necessary and sufficient condition for a function to be in the class Tμ(n,λ,α). The various other results presented here for the class Tμ(n,λ,α) include the radii of close-to-convexity, starlikeness, and convexity, and some growth and distortion theorems involving fractional integrals and fractional derivatives. Some interesting consequences and possible further generalizations of these results are also pointed out.