\[F_{n+p}\left(z\right)\sim\frac{e^{-i(\rho+\alpha)\theta}}{1+e^{-i\theta}}\frac%
{e^{-\rho-z}}{(2\pi\rho)^{1/2}}\sum_{s=0}^{\infty}\frac{a_{2s}(\theta,\alpha)}%
{\rho^{s}},\]