\[M_{\kappa,\mu}\left(z\right)=\frac{\Gamma\left(1+2\mu\right)z^{\lambda}}{%
\Gamma\left(1+2\mu-2\lambda\right)\Gamma\left(2\lambda\right)}\*\int_{0}^{1}M_%
{\kappa-\lambda,\mu-\lambda}\left(zt\right)e^{\frac{1}{2}z(t-1)}t^{\mu-\lambda%
-\frac{1}{2}}{(1-t)^{2\lambda-1}}\,\mathrm{d}t,\]