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forum Forum index forumLegendre forumLegendre's differential equation:

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Author : Topic: Legendre's differential equation:  Bottom
 saucer
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 A Good Tautology is Hard to Find!
 saucer
  Posted 10/02/2007 07:40:44 PM
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Note: People sometimes refer to the more general associated Legendre polynomials as simply Legendre polynomials.
In mathematics, Legendre functions are solutions to Legendre's differential equation:




http://content.answers.com/main/content/wp/en/math/9/7/4/97426c1b358960a3da8430c9d4b3e931.png



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http://content.answers.com/main/content/wp/en-commons/thumb/6/6b/700px-Legendre_poly.svg.png


The graphs of  polynomials (up to n = 5)






Legendre polynomials are useful in expanding functions like


http://content.answers.com/main/content/wp/en/math/2/f/e/2fed89305edaeadd77d76aa2921b51cb.png



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 saucer
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 A Good Tautology is Hard to Find!
 saucer
  Posted 13/05/2007 10:27:30 PM
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 ferme
 Posts : 85
  Posted 28/05/2007 08:44:15 PM
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 very very small tic
 Posts : 70
 very very small tic
  Posted 06/06/2007 09:47:02 AM
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Partial differential equation ..



http://math.la.asu.edu/~kawski/MAPLE/475/images/lyap-not-proper.gif



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