\[R_{n}(a,b,z)=\frac{(-1)^{n}2\pi z^{a-b}}{\Gamma\left(a\right)\Gamma\left(a-b+1%
\right)}\left(\sum_{s=0}^{m-1}\frac{{\left(1-a\right)_{s}}{\left(b-a\right)_{s%
}}}{s!}(-z)^{-s}G_{n+2a-b-s}(z)+{\left(1-a\right)_{m}}{\left(b-a\right)_{m}}R_%
{m,n}(a,b,z)\right),\]