PolyLog help
- To: mathgroup at smc.vnet.net
- Subject: [mg73689] PolyLog help
- From: Jude Bowyer <j.bowyer at ucl.ac.uk>
- Date: Sat, 24 Feb 2007 02:27:57 -0500 (EST)
Hi all,
Does anyone know how Mathematica evaluates this function?
As far as I understood, the dilogarithm function PolyLog[2,z] is a series like sum^{infinity}_{k=1} (z^k)/(k^2) where k is a positive integer and |z| <= 1.
Mathematica returns to me a function PolyLog[2,-5R] in something I am trying to analyse, where 0 < R <= 1.. but when I plot in this range it produces a convergent output, whereas I would expect it to be divergent (and hence unplottable) beyond R = 0.2
Does anyone know how Mathematica does this?