\[\left(z\frac{\mathrm{d}}{\mathrm{d}z}z\right)^{n}\left(e^{\frac{1}{2}z}z^{-%
\kappa-1}W_{\kappa,\mu}\left(z\right)\right)={\left(\tfrac{1}{2}+\mu-\kappa%
\right)_{n}}{\left(\tfrac{1}{2}-\mu-\kappa\right)_{n}}e^{\frac{1}{2}z}z^{n-%
\kappa-1}W_{\kappa-n,\mu}\left(z\right),\]