Title
New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions
Abstract
The fractional integral is prolific in giving rise to interesting outcomes when associated with different operators. For the study presented in this paper, the fractional integral is associated with the convolution product of multiplier transformation and the Ruscheweyh derivative. Using the operator obtained as a result of this association and inspired by previously published results obtained with similarly introduced operators, the class of analytic functions IR(mu,lambda,beta,gamma,alpha,l,m,n) is defined and investigated concerning various characteristics such as distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to this class.
Year
DOI
Venue
2022
10.3390/sym14020419
SYMMETRY-BASEL
Keywords
DocType
Volume
analytic functions, univalent functions, radii of starlikeness and convexity, neighborhood property, multiplier transformation, Ruscheweyh derivative
Journal
14
Issue
ISSN
Citations 
2
2073-8994
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Alina Alb Lupas105.75