On a new class of integrals involving generalized Mittag-Leffler function

Abstract

In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function. Some interesting special cases of our main results are also considered. The results are derived with the help of an interesting integral due to Lavoie and Trottier.

Keywords

• Gamma function
• Generalized hypergeometric function
• Generalized (Wright) hypergeometric functions
• Generalized Mittag-Leffler functions
• Lavoie-Trottier integral formula