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