dilog - Maple Help

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dilog

the dilogarithm function

 Calling Sequence dilog(x)

Parameters

 x - expression

Description

 • The dilogarithm function is defined as follows:

$\mathrm{dilog}\left(x\right)={\int }_{1}^{x}\frac{\mathrm{ln}\left(t\right)}{1-t}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}ⅆt$

Examples

 > $\mathrm{dilog}\left(1\right)$
 ${0}$ (1)
 > $\mathrm{dilog}\left(0\right)$
 $\frac{{{\mathrm{\pi }}}^{{2}}}{{6}}$ (2)
 > $\mathrm{dilog}\left(\frac{1}{2}\right)$
 $\frac{{{\mathrm{\pi }}}^{{2}}}{{12}}{-}\frac{{{\mathrm{ln}}{}\left({2}\right)}^{{2}}}{{2}}$ (3)

 See Also