Dirichlet Averages of Generalized Mittag-Leffler Type Function

Since Gösta Magus Mittag-Leffler introduced the so-called function in 1903 and studied its features five subsequent notes, passing first half of 20th century during which majority scientists remained almost unaware function, various extensions (referred to as type functions) have been researched applied a wide range problems physics, biology, chemistry, engineering. In context fractional calculus, functions widely studied. Carlson established notion Dirichlet average different variations, these averages explored used variety fields. This paper aims investigate modified R-function (an extended function), are provided terms Riemann-Liouville integrals hypergeometric several variables. Principal findings this article (possibly) applicable. concludes by addressing an open problem.