A CERTAIN SUBCLASS OF ANALYTIC-FUNCTIONS ASSOCIATED WITH OPERATORS OFFRACTIONAL CALCULUS

In the present paper, we introduce a new class of functions, defined b y using certain fractional calculus operators, which are analytic in t he open unit disk. A necessary and sufficient condition for a function to belong to such a class is obtained. The various other results pres ented here include the radii of close-to-convexity, starlikeness, and convexity, and some distortion theorems involving fractional integrals and fractional derivatives. Several special cases of our results are also pointed out.