A subclass of analytic functions defined by using certain operators of fractional calculus

Abstract

Making use of certain operators of fractional calculus, we introduce a new class F δ ( n, λ, α) of functions which are analytic in the open unit disk μ and obtain a necessary and sufficient condition for a function to be in the class F δ ( n, λ, α). We also determine the radii of close-to-convexity, starlikeness, and convexity. Finally, an application involving fractional calculus of functions in the class F δ ( n, λ, α) is considered.