On a Subclass of Spiral-Like Functions by Applying Fractional Calculus
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
How to Cite?: Waggas Galib Atshan, Raghda Naser Abdul-Hussien, "On a Subclass of Spiral-Like Functions by Applying Fractional Calculus", Volume 4 Issue 5, May 2015, International Journal of Science and Research (IJSR), Pages: 2424-2428, https://www.ijsr.net/getabstract.php?paperid=SUB153569, DOI: https://dx.doi.org/10.21275/SUB153569