Identities for the Widder transform and transforms with Bessel function kernels

Abstract In the present paper, we consider the classical Widder transform, the H ν -transform, the K ν -transform, and the Y ν -transform. Some identities involving these transforms and many others are given. By making use of these identities, a number of new Parseval–Goldstein type identities are obtained for these and other well-known integral transforms.