Fractional Calculus of a Class of Univalent Functions with Negative Coefficients Defined by Hadamard Product with Rafid -Operator

Waggas Galib Atshan, Rafid Habib Buti

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.

Keywords

Univalent Function, Fractional Calculus, Hadamard Product, Distortion Theorem, Rafid-Operator, Extreme Point

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