Dirichlet averages of the generalized confluent hypergeometric function

Abstract

This article deals with the representation of Dirichlet averages of the generalized confluent hypergeometric function (also referred to as a Mittag-Leffler-confluent hypergeometric function), which are presented by means of the Pathway fractional integral operator and of the generalized hypergeometric functions of multiple variables. Additionally, certain particular cases are taken into account when the aforementioned Dirichlet averages coincide with the confluent hypergeometric function and generalized Wright hypergeometric functions.