Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients

In the present paper, by making use of certain operators of generalized fractional calculus, we introduce a novel class T-lambda(mu,phi,eta)(n; alpha) of functions which are analytic and univalent in the open unit disk U. A necessary and sufficient condition for a function to be in the class T-lambda(mu,phi,eta)(n; alpha) is obtained. In addition, this paper includes distortion theorems involving generalized fractional integrals (and generalized fractional derivatives), radii of close-to-convexity, starlikeness, and convexity. Relevance with some new (or known) special cases are also pointed out.