Euler-Type Integral Operator Involving S-Function

Abstract

The object of the present paper is to establish some interested theorems on Euler-type integrals involving $\mathcal{S}$-function, which is defined by Saxena and Daiya. Further, we reduce some special cases involving various known functions like the $k$-Mittag-Leffler function, $\mathcal{K}$-function, and $ℳ$-series.