jak137
2011-10-06
Hi,
I am puzzled by the definition of hankel_transform. Usually it is defined as:
f_\nu(k) = \int_0^\infty F(r) J_\nu(kr) r dr
while in defint the definition is:
f(\omega) = \int_{0}^\infty F(t) J_\nu(2 \sqrt{\omega t}) dt
(note the lack of r term and square root of the product).
What is the source of this definition and how can one compute the "normal" Hankel transform?
Also: Is it possible to compute integrals with spherical Bessel functions with reduce?
Thanks in advance for any help,
Jaroslaw