Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2005
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*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 error (bug?) in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59084] Re: LegendreP error (bug?) in Mathematica
  • From: "sashap" <pavlyk at gmail.com>
  • Date: Thu, 28 Jul 2005 02:27:27 -0400 (EDT)
  • References: <dbq2o2$713$1@smc.vnet.net><dbt3bk$sib$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

To symbio:

Differential equation for LegendreP has the symmetry n->(-n-1).
This symmetry is used to define what we mean by LegendreP[n,x]
for negative n. The formula is quoted in my previous email.

In the previous post I must have added that the sum does not define
LegendreP for negative n.

Per your suggestion I am quoting you the result from a math book,
which says:

  LegendreP[n, 1] == 1 for non-negative integer n
  LegendreP[n,1] == LegendreP[ -n-1, 1] == 1 for nagative integer n.

Please feel free to quote the text-book you refer to, to be more
precise.
I am using

N.N. Lebedev, "Special Functions and Their applications"

Oleksandr Pavlyk
Wolfram Research


  • Prev by Date: Re: Why won't Hornerwork?
  • Next by Date: Re: Operating with binary numbers
  • Previous by thread: Re: LegendreP error (bug?) in Mathematica
  • Next by thread: Re: Returnin pure function