1211.0641 (R. Mehrem)

An Analytical Solution To A Special Case Of The Weber-Schafheitlin
Integral    [PDF]

R. Mehrem

The Weber-Schafheitlin type integral $\threej{\Llo}{\Llt}{\Llth}{0}{0}{0}\,\int_0^\infty \,{j_\Llo(k_1r)\,j_\Llt(k_2r)\over r^\Llth}\,dr$ is evaluated analytically. The result is a finite sum over $k_<$ and $k_>$, where $k_<$ ($k_>$) is the smaller (larger) of $k_1$ and $k_2$.

View original: http://arxiv.org/abs/1211.0641