On a Subclass of Spiral-Like Functions by Applying Fractional Calculus
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 116 | Views: 404

Research Paper | Mathematics | Iraq | Volume 4 Issue 5, May 2015 | Popularity: 6.2 / 10


     

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


Edition: Volume 4 Issue 5, May 2015


Pages: 2424 - 2428



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

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