\[E_{n}\left(z\right)=\frac{(-z)^{n-1}}{(n-1)!}(\psi\left(n\right)-\ln z)-\sum_{%
\begin{subarray}{c}k=0\\
k\neq n-1\end{subarray}}^{\infty}\frac{(-z)^{k}}{k!(1-n+k)},\]