\[2\mu(1+2\mu)\sqrt{z}M_{\kappa+\frac{1}{2},\mu-\frac{1}{2}}\left(z\right)+(z-2%
\mu)(1+2\mu)M_{\kappa,\mu}\left(z\right)+(\kappa-\mu-\tfrac{1}{2})\sqrt{z}M_{%
\kappa-\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)=0,\]