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 -- 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) AUSTRALIA http://physics.uwa.edu.au/~paul http://InternationalMathematicaSymposium.org/IMS2005/