\[\int_{0}^{\infty}Y_{\nu}\left(at\right)J_{\nu+1}\left(bt\right)\frac{t\,%
\mathrm{d}t}{t^{2}-z^{2}}=\frac{1}{2}\pi J_{\nu+1}\left(bz\right){H^{(1)}_{\nu%
}}\left(az\right),\]