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MathGroup Archive 2006

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Evaluating a Meijer G-function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg69438] Evaluating a Meijer G-function
  • From: Raul Martinez <raulm231 at comcast.net>
  • Date: Tue, 12 Sep 2006 06:53:50 -0400 (EDT)

I have the following special case of Meijer's G-function:

g = MeijerG[{{1/ 2, 1/ 2}, {1}}, {{0, 0, 0}, { }}, 4 / t^2] / (2 Pi),  
where t is real.

When I evaluate it numerically for a sequence of decreasing small t,  
0 < t < 1, it is clear that the value approaches 0 as t -> 0.

But neither

N[g /. t -> 0]

nor

Limit[g, t -> 0]

yields the result that g = 0.

Can anyone show that g -> 0 as t -> 0?

I've consulted functions.wolfram.com, mathworld.wolfram.com, and many  
other web sites and reference works, to no avail.

Thanks in advance.

Raul


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