Some Applications of Fractional Calclus Operator

Abstract

The aim of this paper is to discuss a new subclass TS(ℏ,σ,ς,ϑ) of univalent functions with negative coefficients related to fractional calclus operator in the unit disk U={z∈C:|z|<1}. We obtain basic properties like coefficient inequality, distortion and covering theorem, radii of starlikeness, convexity and close-to-convexity, extreme points, Hadamard product, and closure theorems for functions belonging to our class. 2020 Mathematical Sciences Classification. 30C45.