Legendre Polynomials

thepaqster

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!

inha

Well you could use the recursion formulae. I haven't seen them listed too high anywhere.

Stingray

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

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

Does not the Rodrigues' formula eventually give you coefficients of the terms ?

krab

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?