\[\int_{0}^{\infty}t^{\mu}Y_{\nu}\left(t\right)\,\mathrm{d}t=\frac{2^{\mu}}{\pi}%
\Gamma\left(\tfrac{1}{2}\mu+\tfrac{1}{2}\nu+\tfrac{1}{2}\right)\Gamma\left(%
\tfrac{1}{2}\mu-\tfrac{1}{2}\nu+\tfrac{1}{2}\right)\sin\left(\tfrac{1}{2}\mu-%
\tfrac{1}{2}\nu\right)\pi,\]