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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