New Subclass of Analytic Functions Associated with Fractional q− Differintegral Operator

D. D. Bobalade, S. Joshi, N. Sangle
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Abstract

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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分数阶q -微分积分算子解析函数的新子类
本文在单位圆盘U = {z∈C: |z| < 1}上,引入了分数阶q -微分积分算子定义的一元函数和解析函数的一个新子类T α q,ξ,δ。我们得到了系数不等式、凸集、极值点、生长和畸变定理、星形类的半径、凸性、邻域以及该子类的Hadamard积。
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