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