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Abel's Duplication Formula

The duplication formula for Rogers L-function follows from Abel's functional equation and is given by

1/2L(x^2)=L(x)-L(x/(1+x)).

See also

Abel's Functional Equation, Dilogarithm

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References

Gordon, B. and McIntosh, R. J. "Algebraic Dilogarithm Identities." Ramanujan J. 1, 431-448, 1997.

Referenced on Wolfram|Alpha

Abel's Duplication Formula

Cite this as:

Weisstein, Eric W. "Abel's Duplication Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AbelsDuplicationFormula.html

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