Unified Integrals of Generalized Mittag–Leffler Functions and Their Graphical Numerical Investigation

Abstract

In this article, we obtain certain finite integrals concerning generalized Mittag–Leffler functions, which are evaluated in terms of the generalized Fox–Wright function. The integrals of concern are unified in nature and thereby yield some new integral formulas as special cases. Moreover, we numerically compute some integrals using the Gaussian quadrature formula and draw a comparison with the main integrals by using graphical numerical investigation.

Keywords

• Fox–Wright function
• generalized hypergeometric function
• Mittag–Leffler function