Re: LegendreP of order = -1
- To: mathgroup at smc.vnet.net
- Subject: [mg58963] Re: [mg58936] LegendreP of order = -1
- From: Curtis Osterhoudt <gardyloo at mail.wsu.edu>
- Date: Mon, 25 Jul 2005 01:12:18 -0400 (EDT)
- References: <200507240521.BAA14443@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
A contour integration argument shows that, for any integral value of
n (see, e.g., Byron and Fuller's Mathematics of Classical and Quantum
Physics, section 6.9, and recasting into Mathematica's notation),
LegendreP[ n, 1] = 1;
LegendreP[ n, -1] = (-1)^n.
Mathematica gets it right.
>I'm trying to solve an electrodynamics problem in spherical coordinates and
>need to use Legendre Polynomials. Can anyone tell me what is the correct
>mathematical value for LegendreP[-1,1] supposed to be? Is it +1 or -1, and
>more importantly WHY? I have a math book here which says it should be -1,
>but Mathematica gives +1, so which is correct?
>So the question is: LegendrePolynomial[n = -1, x = 1] = ???
PGP Key ID: 0x235FDED1
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