A UNIFIED INVERSE LAPLACE TRANSFORM FORMULA INVOLVING THE PRODUCT OF A GENERAL CLASS OF POLYNOMIALS AND THE FOX H-FUNCTION

In the present paper we obtain the inverse Laplace transform of the product of a general class of polynomials and the Fox H-function. The polynomials and the functions involved in our main formula as well as their arguments are quite general in nature. Therefore, the inverse Laplace transform of the product of a large variety of polynomials and numerous simple special functions can be obtained as simple special cases of our main result. The results obtained by Gupta and Soni [2] and Srivastava [5] follow as special cases of our main result.