\[\int_{0}^{\frac{1}{2}\pi}J_{\mu}\left(z\sin\theta\right)J_{\nu}\left(\zeta\cos%
\theta\right)(\sin\theta)^{\mu+1}(\cos\theta)^{\nu+1}\,\mathrm{d}\theta=\frac{%
z^{\mu}\zeta^{\nu}J_{\mu+\nu+1}\left(\sqrt{\zeta^{2}+z^{2}}\right)}{(\zeta^{2}%
+z^{2})^{\frac{1}{2}(\mu+\nu+1)}},\]