Computation of certain integral formulas involving generalized Wright function

Advances in Difference Equations

Nabiullah Khan¹  Mohd Aman¹  Serkan Araci²  Talha Usman³  Shrideh Al-Omari⁴ 

[1] Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, 202002, Aligarh, India;Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410, Gaziantep, Turkey;Department of Mathematics, School of Basic and Applied Sciences, Lingaya’s Vidyapeeth, 121002, Faridabad, Haryana, India;Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, 11134, Amman, Jordan;

关键词: Generalized Wright function;    Wright hypergeometric function;    Mittag-Leffler function;    Lavoie–Trottier integral formula;    Generalized hypergeometric function;    Gamma function;   

DOI  :  10.1186/s13662-020-02948-8

来源: Springer

【 摘 要 】

The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as well. Based on the main results, some integral formulas involving different special functions connected with the generalized Wright function are explicitly established as special cases for different values of the parameters. Moreover, a Gaussian quadrature formula has been used to compute the integrals and compare with the main results by using graphical representations.

【 授权许可】

CC BY