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polylogarithm [2016/05/30 16:40]
nikolaj
polylogarithm [2016/05/30 16:40]
nikolaj
Line 1: Line 1:
 ===== Polylogarithm ===== ===== Polylogarithm =====
 ==== Function ==== ==== Function ====
->todo 
- 
 | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s:​ ?? \to ??$ | | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}_s:​ ?? \to ??$ |
 | @#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}$ |
  
-"​$\text{analytic continuation}$"​+>​todo ​"​$\text{analytic continuation}$"​
  
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