Some representations of Dirichlet averages of the five-parameter Mittag-Leffler function

A. Pal

In this article, we explore the establishment of bivariate Dirichlet averages associated with the five-parameter Mittag-Leffler function. These averages are elegantly presented through the utilization of the Pathway fractional integral operator and the multivariate generalized hypergeometric functions. Moreover, we meticulously examine specific cases where these Dirichlet averages seamlessly align with the esteemed generalized Mittag-Leffler function and the Wright hypergeometric functions. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 1-14