Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: LegendreP in Mathematica 5.2 --system dump error

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

In article <dbnj70$hrn$1 at>, "ab at" <at2 at> 

> 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.


Paul Abbott                                      Phone: +61 8 6488 2734
School of Physics, M013                            Fax: +61 8 6488 1014
The University of Western Australia         (CRICOS Provider No 00126G)    

  • Prev by Date: Re: Showing Mathematica notebooks within Firefox browser (like Adobe PDF's)
  • Next by Date: NIntegrate::inum
  • Previous by thread: LegendreP in Mathematica 5.2 --system dump error
  • Next by thread: Gridlines in MultipleListPlot