\[M\left(\nu+\tfrac{1}{2},2\nu+1-n,2z\right)=\Gamma\left(\nu-n\right){\mathrm{e}%
}^{z}\left(\ifrac{z}{2}\right)^{n-\nu}\sum_{k=0}^{n}(-1)^{k}\frac{{\left(-n%
\right)_{k}}{\left(2\nu-2n\right)_{k}}(\nu-n+k)}{{\left(2\nu+1-n\right)_{k}}k!%
}I_{\nu+k-n}\left(z\right).\]