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

Authors

  • Waggas Galib Atshan
  • Rafid Habib Buti

Keywords:

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

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.

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How to Cite

Galib Atshan, W., & Habib Buti, R. (2011). Fractional Calculus of a Class of Univalent Functions with Negative Coefficients Defined by Hadamard Product with Rafid -Operator. European Journal of Pure and Applied Mathematics, 4(2), 162–173. Retrieved from https://ejpam.com/index.php/ejpam/article/view/1174