In this paper, we have introduced a new subclass T α q,ξ,δ of univalent and analytic functions defined by fractional q− differintegral operator in the unit disc U = {z ∈ C : |z| < 1}. We obtained, among other results, coefficient inequality, convex set, extreme points, growth and distortion theorem, radii of a class of starlikeness, convexity, and neighborhood and Hadamard product for this subclass.
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