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Re: Polylog equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg85000] Re: Polylog equations
  • From: "David W.Cantrell" <DWCantrell at sigmaxi.net>
  • Date: Tue, 22 Jan 2008 01:57:38 -0500 (EST)
  • References: <fn21oa$in5$1@smc.vnet.net>

Valeri Astanoff <astanoff at gmail.com> wrote:
> Good day,
>
> Given these polylog equations:
>
> In[1]:= Assuming[0 < x < 1,
>         Solve[PolyLog[3/2,x]==y && PolyLog[5/2,x]==z,z,x]]
>
> Out[1]= {{}}
>
> what is the best way to get z(y)?

I hope this is not the best way, but it's all that came to mind:

z(y) is given by

PolyLog[5/2, x /. FindRoot[PolyLog[3/2, x] == y, {x, 1/2}]]

David


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