On a Subclass of Spiral-Like Functions by Applying Fractional Calculus
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 5)Publication Date: 2015-05-05
Authors : Waggas Galib Atshan; Raghda Naser Abdul-Hussien;
Page : 2424-2428
Keywords : Convex function; Spiral-Like function; Fractional calculus; Distortion Theorem; Radius of Starlikeness; Partial Sums;
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.
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