An Inversion Formula for the Distributional Generalised Laplace Transformation

A unification and generalisation of several extensions of the classical Laplace transform was given by Professor H. M. Srivastava in 1968. S. K. Sinha gave complex inversion and Tauberian theorems for this general integral transformation. A. K. Tiwari and A. Ko gave several further properties in the distributional sense. S. K. Akhaury extended the generalisation to distributions and derived the Abelian theorems of the initial and final value types. In the present paper we give the inversion formula for the distributional generalised Laplace transformation. Ó 1996 Academic Press, Inc.