Dilogarithm (source code)

= Dilogarithm
{title2=$\operatorname{Li}_2(z)$}
{wiki}

The dilogarithm is the order-two <polylogarithm>, defined for $|z|<1$ by $\operatorname{Li}_2(z)=\sum_{n\geq1}z^n/n^2$. Its derivative is $-\operatorname{Log}(1-z)/z$, with a removable value at zero; a chosen <complex logarithm> branch gives its <analytic continuation>.