What are the different definitions of:
$$\text{Li}_\text{n}\left(\text{z}\right)$$
For all possible $\text{z}$???
I know that when $\left|\text{z}\right|<1$ it is defined by:
$$\text{Li}_\text{n}\left(\text{z}\right)=\sum_{\text{k}=1}^\infty\frac{\text{z}^\text{k}}{\text{k}^\text{n}}$$