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

We first present two classes ζ q n ( α , η ) and ℑ q n ( α , η ) of complex order bounded q − starlike and q − convex univalent functions using the salagean q − derivative operator D q n f ( z ) that is defined in ∇ = { z ∈ C : | z | < 1 } . In such classes, we also analyze the convolution properties, inclusion properties, and estimates of coefficients.