Abstract
In this paper, we evaluate a key Eulerian integral involving Sister Celine's polynomials of several complex variables defines by the author. Our general Eulerian intergral formula are shown to provide the key formula from which numerous other potentially useful results involving polynomials such as Jacobi, Laguerre, Hermite, Bessel, Bateman, Rice etc and also discrete polynomials like Hahn, Krawtchouk, Pasternak, Meixner, Poisson-Charlier are derived.