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Spence's Function


SpencesFunctionReal
Min Max
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SpencesFunctionReImAbs
Min Max
Re
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F(x)=-Li_2(-x)
(1)
=int_0^x(ln(1+t))/tdt,
(2)

where Li_2(x) is the dilogarithm.


See also

Dilogarithm, Rogers L-Function, Spence's Integral

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References

Berestetskii, V. B.; Lifschitz, E. M.; and Pitaevskii, L. P. Quantum Electrodynamics, 2nd ed. Oxford, England: Pergamon Press, p. 596, 1982.

Referenced on Wolfram|Alpha

Spence's Function

Cite this as:

Weisstein, Eric W. "Spence's Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpencesFunction.html

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