On the generalized Hankel type integral transformation of generalized functions (Q1574274)

In this paper a Hankel type integral transform depending on three real parameters (so that many of the existing generalized Hankel type integral transforms become special cases of this) is extended using kernel method to certain spaces of generalized functions. An inversion theorem is also obtained using distributional convergence. The theory is then applied to solve a certain differential equation with a given generalized function for the initial condition.