Abstract
In the present paper, the authors have obtained two fractioal integral formulae involving the product of a general class of polynomials and the multivariable -function. On account of the most general nature of these functions, a number of results (known and new) follow as special cases of our formulae. In the end, we obtain a fractional integral formula involving the laguerre and the hermite polynomials as a simple special case of our main formula.