The inversion, formulae for some bessel and hypergeometric transforms

Abstract

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.