\[e^{\frac{1}{2}y}\left(\frac{x+y}{x}\right)^{\mu+\frac{1}{2}}\sum_{n=0}^{\infty%
}\frac{{\left(\frac{1}{2}+\mu+\kappa\right)_{n}}}{{\left(1+2\mu\right)_{n}}n!}%
\left(\frac{-y}{\sqrt{x}}\right)^{n}\*M_{\kappa+\frac{1}{2}n,\mu+\frac{1}{2}n}%
\left(x\right),\]