On a Subclass of Spiral-Like Functions by Applying Fractional Calculus

Waggas Galib Atshan, Raghda Naser Abdul-Hussien

Abstract: In this paper, we study an application of the fractional calculus techniques for the subclass of Spiral-Like functions R_ (, ,). Distortion theorems for the fractional derivative and fractional integration are obtained. Also we get some geometric properties, like, extreme points, radii of starlikeness, convexity and close-to-convexity, closure theorems and partial sum.

Keywords: Convex function, Spiral-Like function, Fractional calculus, Distortion Theorem, Radius of Starlikeness, Partial Sums