The inversion, formulae for some bessel and hypergeometric transforms

By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are the confluent hypergeometric function  ₁F₁(γ - a;  γ; μx) and Gauss hypergeometric function  ₂F₁( a, β, γ;  - 1/ μ x). The results given earlier by Gómez López [8] follow as special cases of our results given in section. 3.