On a subclass of analytic functions with negative coefficients

摘要

In this paper, we introduce a class of functions Rp(α,β) which are analytic in the unit disk. We obtain a necessary and sufficient condition for a functions to be in Rp(α,β), and radii of close-to convexity, starlikeness and convexity. Further, an application in the fractional calculus for functions in Rp(α,β) is given.