\[F_{n+p}\left(z\right)\sim(-1)^{n}ie^{-p\pi i}\left(\tfrac{1}{2}\operatorname{%
erfc}\left(\sqrt{\tfrac{1}{2}\rho}\,c(\theta)\right)-i\frac{e^{i\rho(\pi-%
\theta)}e^{-\rho-z}}{(2\pi\rho)^{1/2}}\sum_{s=0}^{\infty}\frac{h_{2s}(\theta,%
\alpha)}{\rho^{s}}\right).\]