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.