\[R_{n}^{(2)}(z)=(-1)^{n}ie^{(\mu_{2}-\mu_{1})\pi i}e^{\lambda_{1}z}z^{\mu_{1}}%
\left(C_{2}\sum_{s=0}^{m-1}(-1)^{s}a_{s,1}\frac{F_{n+\mu_{1}-\mu_{2}-s}\left(%
ze^{-\pi i}\right)}{z^{s}}+R_{m,n}^{(2)}(z)\right),\]