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MathGroup Archive 2005

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Re: LegendreP in Mathematica 5.2 --system dump error

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59100] Re: LegendreP in Mathematica 5.2 --system dump error
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Thu, 28 Jul 2005 02:28:30 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <dbnj70$hrn$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <dbnj70$hrn$1 at smc.vnet.net>, "ab at sd.com" <at2 at ads.com> 
wrote:

> Mathematica 5.2 gives a system dump error when taking this integral of 
> LegendreP, but same thing works fine in ver. 5.1, why is this?

Actually, I get this system dump error in 5.1 under OS X.

> Integrate[LegendreP[l, x], {x, -1, m}]

If you want to compute integrals of this type, you are better off 
working with the generating function, (1 - 2 x z + z^2)^(-1/2), anyway:

  Assuming[Abs[z] < 1 && m > -1, 
    Integrate[(1 - 2 x z + z^2)^(-1/2), {x, -1, m}]]

This gives you a simple general expression. Series expansion in z of 
this result gives you the result you require.

Cheers,
Paul

-- 
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        http://InternationalMathematicaSymposium.org/IMS2005/


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