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polylogarithm [2016/05/30 16:40]
nikolaj
polylogarithm [2016/05/30 16:41] (current)
nikolaj
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 ===== 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}$ |
  
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