Linear operators associated with k-uniformly convex functions

In terms of the Hadamard product (or convolution), define the operator Ia,b,c by [I-a.b,I-c(f)](z) = f(z)* z(2)F(1)(a;b;c;z), where the function f is analytic in the unit disk. The classes of k-uniformly convex and k-starlike functions (0 less than or equal to k < infinity), denoted by k-UCV and k-ST, respectively, were introduced recently (cf. [3] and [5]). The object of the present paper is to find conditions on the parameters a, b, c, and k, for Which the linear operator I (a,b,c) maps the classes of starlike and univalent functions onto k.-UCV and k-ST.