\[R_{\ell}^{\pm}(\nu,z)=(-1)^{\ell}2\cos\left(\nu\pi\right)\*\left(\sum_{k=0}^{m%
-1}(\pm i)^{k}\frac{a_{k}(\nu)}{z^{k}}G_{\ell-k}\left(\mp 2iz\right)+R_{m,\ell%
}^{\pm}(\nu,z)\right),\]