\[\int z^{\nu}\mathscr{C}_{\nu}\left(z\right)\,\mathrm{d}z=\pi^{\frac{1}{2}}2^{%
\nu-1}\Gamma\left(\nu+\tfrac{1}{2}\right)\*z\left(\mathscr{C}_{\nu}\left(z%
\right)\mathbf{H}_{\nu-1}\left(z\right)-\mathscr{C}_{\nu-1}\left(z\right)%
\mathbf{H}_{\nu}\left(z\right)\right),\]