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MathGroup Archive 2000

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Associated Legendre Definition

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25613] Associated Legendre Definition
  • From: Preben Bohn <pmib at my-deja.com>
  • Date: Mon, 16 Oct 2000 03:04:37 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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


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