Starlikeness and convexity of an integral transform

In this paper, we find adequate conditions for a normalized analytic function f with f″(0) = 0 to be starlike or convex. In addition, we also consider the integral operator defined by [I(f)](z) = [c/(z c-1)]{∫0z[ζc/f(ζ )]dζ} and find conditions and identify a space F so that I(f) carries F into another space which is a subspace of the space of all starlike or convex functions.