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Re: Series solution for complicated function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg85974] Re: Series solution for complicated function
  • From: sashap <pavlyk at gmail.com>
  • Date: Fri, 29 Feb 2008 06:21:55 -0500 (EST)
  • References: <fq5pmo$jgo$1@smc.vnet.net>

The function you quote is defined by the following sum

1/(2 Pi)
 Sum[ (((-1)^k) (x^(2 k)) )/((1 + 2 k)(k+1) (k!)^2)*
  (2/(2*k+1) + 1/(k+1) - Log[x^2] + 2 PolyGamma[0,k+1]), {k, 0, \
[Infinity]}]

small x series expansion follows from here.

Oleksandr Pavlyk
Wolfram Research

On Feb 28, 2:00 am, klaus.halter... at gmail.com wrote:
> I am trying to find the series for MeijerG[{{1}, {3/2}}, {{1, 1}, {0,
> 1/2}}, x^2]/(4 x^2) using my current version of Mathematica 5.0, and
> it fails. Does anyone know the series solution for this up to 2nd
> order, or how I can implement this in my current version of
> Mathematica?
>
> thanks,
>
> Klaus.



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