Spence's Function
SpencesFunction
SpencesFunctionReIm
SpencesFunctionContours
F(x) = -Li_2(-x)
(1)
= [画像:int_0^x(ln(1+t))/tdt,]
(2)
where Li_2(x) is the dilogarithm.
See also
Dilogarithm, Rogers L-Function, Spence's IntegralExplore with Wolfram|Alpha
WolframAlpha
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 FunctionCite this as:
Weisstein, Eric W. "Spence's Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SpencesFunction.html