FRACTIONAL CALCULUS AND SOME PROPERTIES OF $k$-UNIFORM CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS

Abstract

In this paper, we introduce a class of functions $(k,A,B,\alpha)-UCV$ which is convex in the unit disk. We give some results for the class $(k,A,B,\alpha)-UCV$, integral operators and radius of $k$-uniform convexity. Further, the proofs of distortion theorems for fractional calculus for functions $(k,A,B,\alpha)-UCV$ is given.