Convolution properties of bounded analytic function classes with higher and complex order defined by q- derivatives operator

We first present two classes  (,) n q and (,) n q of complex order bounded q − starlike and q − convex univalent functions using the salagean q − derivative operator D f (z) n q that is defined in  = zC: z 1 . In such classes, we also analyze the convolution properties, inclusion properties, and estimates of coefficients.