Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | |||
|
polylogarithm [2016/05/30 16:40] nikolaj |
polylogarithm [2016/05/30 16:41] nikolaj |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Polylogarithm ===== | ===== Polylogarithm ===== | ||
| ==== Function ==== | ==== Function ==== | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s: ?? \to ??$ | | + | >Context: s |
| + | |||
| + | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s: {\mathbb C} \to {\mathbb C}$ | | ||
| | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s(z) := \begin{cases} \sum_{n=0}^\infty\, n^{-s} z^n&\hspace{.5cm} \mathrm{if}\hspace{.5cm} |z|<1,\hspace{.5cm} \\\\ \text{analytic continuation}\hspace{.5cm} &\hspace{.5cm} \mathrm{else} \end{cases}$ | | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s(z) := \begin{cases} \sum_{n=0}^\infty\, n^{-s} z^n&\hspace{.5cm} \mathrm{if}\hspace{.5cm} |z|<1,\hspace{.5cm} \\\\ \text{analytic continuation}\hspace{.5cm} &\hspace{.5cm} \mathrm{else} \end{cases}$ | | ||
