Formula:DLMF:25.12:E10

<< Formula:DLMF:25.12:E9

formula in Polylogarithms

Formula:DLMF:25.12:E11 >>

${\displaystyle{\displaystyle{\displaystyle\Polylogarithm{s}@{z}=\sum_{n=1}^{\infty}\frac{z^{n}}{n^{s}}}}}$

Constraint(s)

real or complex ${\displaystyle{\displaystyle{\displaystyle s}}}$ and ${\displaystyle{\displaystyle{\displaystyle z}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{Li}_{s}}}}$ : polylogarithm : http://dlmf.nist.gov/25.12#E10
${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum

Bibliography

Equation (10), Section 25.12 of DLMF.

URL links

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<< Formula:DLMF:25.12:E9

formula in Polylogarithms

Formula:DLMF:25.12:E11 >>