[SciPy-user] Polylogarithms

Michael McNeil Forbes mforbes at alum.mit.edu
Fri Jun 16 00:38:20 CDT 2006


Hi,

Is anyone aware of good python algorithms for computing polylogarithms?
(The principle branch of the following sum analytically continued for
larger x).

Li[s](x) = Sum(x^n/n^s,n=1..infinity)

Maple offers this as polylog(s,x).  There are a few special cases (dilogs
for example with s=2) floating around on the internet and in the GNU
scientific library (the Fermi-Dirac functions) but I have not been able to
find a good algorithm for general s and x (non-integer s).

Thanks,
Michael.



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