New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions

Symmetry

Alina Alb Lupaş¹ 

[1] Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania;

关键词: analytic functions;    univalent functions;    radii of starlikeness and convexity;    neighborhood property;    multiplier transformation;    Ruscheweyh derivative;   

DOI  :  10.3390/sym14020419

来源: DOAJ

【 摘 要 】

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 $\mathcal{IR}(\mu ,\lambda ,\beta ,\gamma ,\alpha ,l,m,n)$ 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.

【 授权许可】

Unknown