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MathGroup Archive 2007

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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?


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