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Multidimensional Polylogarithm

A multidimensional polylogarithm is a generalization of the usual polylogarithm to

L_(a_1,...,a_m)(z)=sum_(n_1>...>n_m>0)(z^(n_1))/(n_1^(a_1)...n_m^(a_m))

with positive integers a_i (Borwein et al. 2004, p. 27).

See also

Polylogarithm

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References

Borwein, J.; Bailey, D.; and Girgensohn, R. Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.

Referenced on Wolfram|Alpha

Multidimensional Polylogarithm

Cite this as:

Weisstein, Eric W. "Multidimensional Polylogarithm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MultidimensionalPolylogarithm.html

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