\[\int_{0}^{\infty}e^{-at}J_{\nu}\left(bt\right)J_{\nu}\left(ct\right)\,\mathrm{%
d}t=\frac{1}{\pi(bc)^{\frac{1}{2}}}\*Q_{\nu-\frac{1}{2}}\left(\frac{a^{2}+b^{2%
}+c^{2}}{2bc}\right),\]