Some properties of analytic functions associated with fractional q-calculus operators

By applying a fractional q-calculus operator, we define the subclasses S n . ; ; b; q/ and G n . ; ; b; q/ of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity, extreme points, and growth and distortion theorems.