An inversion formula for a distributional finite-Hankel-Laplace transformation

Abstract

In this paper a Finite-ankel-Laplace transformation of a certain generalized functions is defined, and an inversion formula is established. 1* Introduction. Schwartz first introduced the Fourier transform of distributions in 1947. Since then, extension of the classical integral transformation to generalized functions has been of continuing interest. Some pertinent references are [1], [2], [3], [4], [5], [7], [8], and [9]. The classical Finite-Hankel-Laplace transform of function / defined on -oo<<oo ? 0</<lis defined as (1.1)