Fractional calculus of a class of univalent functions with negative coefficients defined by hadamard product with Rafid -Operator

Abstract

In our paper, we study a class WR (λ,β,α,μ,θ), which consists of analytic and univalent functions with negative coefficients in the open unit disk U = {z ∈ C : |z| < 1} defined by Hadamard product (or convolution) with Rafid - Operator, we obtain coefficient bounds and extreme points for this class. Also distortion theorem using fractional calculus techniques and some results for this class are obtained. 2000 Mathematics Subject Classifications: 30C45