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Landen's Identity


The dilogarithm identity

 Li_2(-x)=-Li_2(x/(1+x))-1/2[ln(1+x)]^2.

See also

Dilogarithm

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References

Gordon, B. and McIntosh, R. J. "Algebraic Dilogarithm Identities." Ramanujan J. 1, 431-448, 1997.Landen, J. Mathematical Memoirs Respecting a Variety of Subjects, with an Appendix Containing Tables of Theorems, Vol. 1. London: printed for the author, p. 112, 1780-1789.

Referenced on Wolfram|Alpha

Landen's Identity

Cite this as:

Weisstein, Eric W. "Landen's Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LandensIdentity.html

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