Re: Associated Legendre Definition
- To: mathgroup at smc.vnet.net
- Subject: [mg25643] Re: Associated Legendre Definition
- From: Kevin <kevinmccann at home.com>
- Date: Wed, 18 Oct 2000 02:52:19 -0400 (EDT)
- References: <8se9qf$6q3@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
The Mathematica definition is the more common in what I have seen. I have seen the occasional reference that views the additional (-1)^m as an "unnecessary complication". Most physics texts use the Mathematica version. Kevin Preben Bohn wrote: > In Mathematica, the associated Legendre polynomial is defined as > > P(n,m,x) = (-1)^m (1-x^2)^(m/2) d^m/dx^m (P(n,x)) > > while in Schaum's Outlines 'Mathematical Handbook of Formulas and > tables' it is defined as > > P(n,m,x) = (1-x^2)^(m/2) d^m/dx^m (P(n,x)) > > What is true (or doesn't it matter)? > > Best regards > > Preben Bohn > > Sent via Deja.com http://www.deja.com/ > Before you buy.