Legendre Polynomials

1. thepaqster

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!

2. inha

576
Well you could use the recursion formulae. I haven't seen them listed too high anywhere.

3. Stingray

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.

6,750
5. Gokul43201

11,044
Staff Emeritus
Does not the Rodrigues' formula eventually give you coefficients of the terms ?

6. krab

905
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?