A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function

Frontiers in Physics

卷:6

Ravi P. Agarwal¹  Sonal Jain²  Ritu Agarwal³  Dumitru Baleanu⁵ 

[1] Sciences, Gwalior, India;

[2] Department of Mathematics, Faculty of Applied Science, Madhav Institue of Technology &

[3] Department of Mathematics, Malaviya National Institute of Technology, Jaipur, India;

[4] Department of Mathematics, Texas A&

[5] M University, Kingsville, TX, United States;

关键词: Marichev-Saigo-Maeda fractional integral operators;    generalized Lommel–Wright function;    generalized Fox–Wright function;    generalized hypergeometric series;    integral transform;   

DOI  :  10.3389/fphy.2018.00079

来源: DOAJ

【 摘 要 】

In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F3(·) are applied, and several new image formulas of generalized Lommel–Wright function are established. Also, by implementing some integral transforms on the resulting formulas, few more image formulas have been presented. We can conclude that all derived results in our work generalize numerous well-known results and are capable of yielding a number of applications in the theory of special functions.Primary: 44A20 Transforms of special functions; 65R10 For numerical methods; 26A33 Fractional derivatives and integrals; Secondary: 33C20 Generalized hypergeometric series, pFq; 33E50 Special functions in characteristic p (gamma functions, etc.); 2010 AMS classification by MathSciNet

【 授权许可】

Unknown