\[\int_{0}^{\frac{1}{2}\pi}Y_{\mu}\left(z\sin\theta\right)(\sin\theta)^{\mu}(%
\cos\theta)^{2\mu}\,\mathrm{d}\theta=\pi^{\frac{1}{2}}2^{\mu-1}z^{-\mu}\*%
\Gamma\left(\mu+\tfrac{1}{2}\right)J_{\mu}\left(\tfrac{1}{2}z\right)Y_{\mu}%
\left(\tfrac{1}{2}z\right),\]