On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator

The purpose of this present effort is to define a new fractional differential operator I-z(beta,tau,gamma), involving Srivastava-Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness and compactness of analytic and univalent functions on weighted mu-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function. (C) 2016 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.