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