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

Frontiers in Physics

Agarwal, Ravi P.¹  Jain, Sonal³  Agarwal, Ritu⁴  Baleanu, Dumitru⁵ 

[1] Sciences, India;Department of Mathematics, ÇDepartment of Mathematics, Faculty of Applied Science, Madhav Institue of Technology &Department of Mathematics, Malaviya National Institute of Technology, India;Department of Mathematics, Texas A&M University, United States;ankaya University, Turkey

关键词: Marichev-Saigo-Maeda fractional integral operators;    Generalized Lommel-Wright function;    generalized FoxWright function;    Generalized hypergeometric series;    Integral transform;   

DOI  :  10.3389/fphy.2018.00079

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell’s function $F_3(\cdot)$ 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 capable of yielding a number of applications in the theory of special functions.

【 授权许可】

CC BY