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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:

Authors : ; ;

Page : 2424-2428

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

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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.

Last modified: 2021-06-30 21:46:31