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