\[\int_{0}^{\infty}{\mathrm{e}}^{-ax}x^{\nu-2n}L^{(\nu-2n)}_{2n-1}\left(ax\right%
)\cos\left(xy\right)\,\mathrm{d}x=i\frac{(-1)^{n}\Gamma\left(\nu\right)}{2(2n-%
1)!}y^{2n-1}\left((a+iy)^{-\nu}-(a-iy)^{-\nu}\right),\]