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MathGroup Archive 2000

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Meijer G Function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg24164] Meijer G Function
  • From: Wretch <arc at astro.columbia.edu>
  • Date: Wed, 28 Jun 2000 22:50:46 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello -- using DSolve, mathematica churned out a solution 
to an ODE for me.  One of the solutions is the Meijer G
function.  In addition to the specification of the independent variable,
Meijer G requires specification of 4 sets of indices which 
control the location of the poles of the various Gamma functions
that appear in the integral representation.

What mathematica gave me was something like this:

MeijerG[{{ },{p/2}},{{0,0},{ }},-x^2]

(Here x is the independent variable, and p is a fixed parameter)

You'll notice that a couple of the arguments are blank braces.
What does this mean?  Does it mean that the Gamma functions
corresponding to those particular indices are not present in
the integral representation?  

Also, if anyone sees a simplification of the above Meijer-G
function in terms of more "familiar" functions (hell, I'll
take Bessel any day) I'd appreciate the input.

Much thanks,

AC


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