Legendre Polynomials

1. Aug 1, 2005

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!

2. Aug 1, 2005

inha

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

3. Aug 1, 2005

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.

4. Aug 1, 2005

5. Aug 1, 2005

Gokul43201

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

6. Aug 1, 2005

krab

Here's the 14th order:
$$-\left( \frac{429}{2048} \right) + \frac{45045\,x^2}{2048} - \frac{765765\,x^4}{2048} + \frac{4849845\,x^6}{2048} - \frac{14549535\,x^8} {2048} + \frac{22309287\,x^{10}} {2048} - \frac{16900975\,x^{12}} {2048} + \frac{5014575\,x^{14}}{2048}$$
Aren't I nice?