SOME CONVEX FAMILIES OF MULTIVALENTLY ANALYTIC FUNCTIONS DEFINED BY USING CERTAIN OPERATORS OF FRACTIONAL DERIVATIVES

Making use of fractional derivative operator, we introduce a general class  of functions which are analytic and p -valent in the open unit disk U, and obtain a necessary and sufficient condition for a function to be in the class , distortion bounds, inclusion property and the radii of p -valently close-to-convexity, p -valently starlikeness, p -valently convexity for this generalized class of p-valent function. 2000 Mathematics Subject Classification. Primary 30C45, 26A33, Secondary 33C05