# Legendre Polynomials

by thepaqster
Tags: legendre, polynomials
 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!
 P: 576 Well you could use the recursion formulae. I haven't seen them listed too high anywhere.
 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.
P: 5,776

## 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.
 PF Patron Sci Advisor Emeritus P: 11,137 Does not the Rodrigues' formula eventually give you coefficients of the terms ?
 Sci Advisor P: 902 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?

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