Raina, R.K.Srivastava, H.M.2010-01-082010-01-0819962010-01-08http://hdl.handle.net/1828/2061In the present paper we introduce a new class of functions, defined by using certain fractional calculus operators, which are analytic in the open unit disk. A necessary and sufficient condition for a function to belong to such a class is obtained. The various other results presented 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.enanalytic functionsfractional calculusRiemann-Liouville operatorsErdelyi-Kober operatorsGauss's hypergeometric functionunivalent functionsclose-to-convex functionsstarlike functionsconvex functionsTechnical Report