\[\int_{0}^{\infty}Y_{\nu}\left(at\right)J_{\nu}\left(bt\right)J_{\nu}\left(ct%
\right)t^{1+\nu}\,\mathrm{d}t=\begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac%
{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\Gamma\left(\frac{1}{2}-\nu\right)},&0<a<|b%
-c|,\\
0,&|b-c|<a<b+c,\\
\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\Gamma%
\left(\frac{1}{2}-\nu\right)},&a>b+c.\end{cases}\]