Computation of Euler-Type Integrals Involving Generalized M-Series

Abstract

This research presents new evaluations of Euler-type integrals that encompass the generalized M-series, a comprehensive extension of special functions. These results not only deepen our understanding of the structural properties of the generalized M-series but also suggest potential applications in various fields, including mathematical physics, engineering, and applied mathematics. Several specific cases are analysed to illustrate the versatility and utility of the derived integral formulas by selecting particular parameter values of the generalized M-series.