On the inverse Laplace transform of H-function associated with Feynman types integrals

Abstract

The Laplace transform and its inverse are fundamental and powerful tools in solving boundary value problems occurring in the diverse fields of engineering. Here we will establish some useful formulas giving the inverse Laplace transform of various products of algebraic powers and $ \overline{H} $-function, involving one and more variables, which are unified and likely to have applications in several different areas.