摘要:AbstractThe purpose of this present effort is to define a new fractional differential operatorTzβ,τ,γ, 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 weightedμ-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function.