On a fractional class of analytic function defined by using a new operator
Complex Variables
2016-02-26 v1 Functional Analysis
Abstract
In this article, we impose a new class of fractional analytic functions in the open unit disk. By considering this class, we define a fractional operator, which is generalized Salagean and Ruscheweyh differential operators. Moreover, by means of this operator, we introduce an interesting subclass of functions which are analytic and univalent. Furthermore, this effort covers coefficient bounds, distortions theorem, radii of starlikeness, convexity, bounded turning, extreme points and integral means inequalities of functions belongs to this class. Finally, applications involving certain fractional operators are illustrated.
Cite
@article{arxiv.1602.07682,
title = {On a fractional class of analytic function defined by using a new operator},
author = {Zainab E. Abdulnaby and Rabha W. Ibrahim and Adem Kilicman},
journal= {arXiv preprint arXiv:1602.07682},
year = {2016}
}