The aim of the present work is to obtain the inverse Laplace transform of the product of the factors of the type $s^{- ho}prodlimit_{i=1}^{ au}(s^{li}+{alpha}_i)^{-{sigma}i}$, a general class of polynomials an the multivariable H-function. The polynomials and the functions involved in our main formula as well as their arguments are quite general in nature. On account of the general nature of our main findings, the inverse Laplace transform of the product of a large variety of polynomials and numerous simple special functions involving one or more variables can be obtained as simple special cases of our main result. We give here exact references to the results of seven research papers that follow as simple special cases of our main result.