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-delta(n,lambda,alpha) of functions which are analytic in the open unit disk mu and obtain a necessary and sufficient condition for a function to be in the class F-delta(n,lambda,alpha). We also determine the radii of close-to-convexity, starlikeness, and convexity. Finally, an application involving fractional calculus of functions in the class F-delta(n,lambda,alpha) is considered.