Abstract: We
prove that for when
m is a positive integer, the zero
order Hankel transform of is
a Dirac distribution. As an application, we discuss the Green function of the
Helmholtz equation in spherical geometry. We also present the Hankel transform
of some Bessel and Gaussian functions obtained from Weber integrals of Bessel
functions.
Keywords and phrases: Hankel transform, Bessel function, Dirac distribution.
