Difference between revisions of "Polylogarithm"
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| − | $$\mathrm{Li}_s(z)= | + | The polylogarithm $\mathrm{Li}_s$ is defined by the formula |
| + | $$\mathrm{Li}_s(z) = \sum_{k=1}^{\infty} \dfrac{z^k}{k^s} = z + \dfrac{z^2}{2^s} + \dfrac{z^3}{3^s} + \ldots$$ | ||
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| + | [[File:Polylog.png|500px]] | ||
Revision as of 01:10, 19 October 2014
The polylogarithm $\mathrm{Li}_s$ is defined by the formula $$\mathrm{Li}_s(z) = \sum_{k=1}^{\infty} \dfrac{z^k}{k^s} = z + \dfrac{z^2}{2^s} + \dfrac{z^3}{3^s} + \ldots$$
