Re: Truncation of infinite series
From: David W. Cantrell (DWCantrell_at_sigmaxi.org)
Date: 07/28/04
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Date: 28 Jul 2004 19:59:38 GMT
Anonymous <nospam@noISP.com> wrote:
> S = SUM { i^(2/3) * x^i } i=1,... and 0 < x < 1
[snip]
> I am assuming there is no closed-form sum for this series;
There is. Mathematica says it's PolyLog[-2/3, x], which could also be
denoted Li_(-2/3)(x).
See <http://functions.wolfram.com/ZetaFunctionsandPolylogarithms/PolyLog/>
for more information.
HTH,
David Cantrell
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