\[\sum_{k=1}^{n+1}\frac{(n+1)!(k-1)!}{(n-k+1)!{\left(-a-n\right)_{k}}}z^{n-k+1}-%
\sum_{k=0}^{\infty}\frac{{\left(a+n+1\right)_{k}}}{{\left(n+2\right)_{k}}k!}z^%
{n+k+1}\left(\ln z+\psi\left(a+n+k+1\right)-\psi\left(1+k\right)-\psi\left(n+k%
+2\right)\right),\]