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Legendre Polynomials

by thepaqster
Tags: legendre, polynomials
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thepaqster
#1
Aug1-05, 03:04 PM
P: 7
Hey there, does anyone know where I could find a list of Legendre Polynomials? I need them of the order 15 and above, and I haven't been able to find them on the net.
Thanks!
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inha
#2
Aug1-05, 03:28 PM
P: 576
Well you could use the recursion formulae. I haven't seen them listed too high anywhere.
Stingray
#3
Aug1-05, 04:12 PM
Sci Advisor
P: 674
You can get them out of Mathematica, or something like that. If you don't have access to it, tell me exactly what you want to know.

mathman
#4
Aug1-05, 04:13 PM
Sci Advisor
P: 6,115
Legendre Polynomials

Try google - you will get lots of references.
http://www.efunda.com/math/legendre/index.cfm
http://hyperphysics.phy-astr.gsu.edu...th/legend.html
are examples.
Gokul43201
#5
Aug1-05, 04:37 PM
Emeritus
Sci Advisor
PF Gold
Gokul43201's Avatar
P: 11,155
Does not the Rodrigues' formula eventually give you coefficients of the terms ?
krab
#6
Aug1-05, 09:11 PM
Sci Advisor
krab's Avatar
P: 905
Here's the 14th order:
[tex]-\left( \frac{429}{2048}
\right) +
\frac{45045\,x^2}{2048} -
\frac{765765\,x^4}{2048} +
\frac{4849845\,x^6}{2048} -
\frac{14549535\,x^8}
{2048} +
\frac{22309287\,x^{10}}
{2048} -
\frac{16900975\,x^{12}}
{2048} +
\frac{5014575\,x^{14}}{2048}[/tex]
Aren't I nice?


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