On a fractional class of analytic function defined by using a new operator
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.
 Publication:

arXiv eprints
 Pub Date:
 February 2016
 DOI:
 10.48550/arXiv.1602.07682
 arXiv:
 arXiv:1602.07682
 Bibcode:
 2016arXiv160207682A
 Keywords:

 Mathematics  Complex Variables;
 Mathematics  Functional Analysis