Formula:8418

Digital Library of Mathematical Functions ID 25.12.E6

${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(x\right)+\mathrm{Li}_{2}\left(1-x\right)=\frac{1}{6}\pi^{2}-(\ln x)\ln\left(1-x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle 0<x<1}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{Li}_{2}\left(\NVar{z}\right)}}$: dilogarithm
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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