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Legendre Polynomials 
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#1
Aug105, 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! 


#2
Aug105, 03:28 PM

P: 576

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



#3
Aug105, 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.



#4
Aug105, 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.phyastr.gsu.edu...th/legend.html are examples. 


#5
Aug105, 04:37 PM

Emeritus
Sci Advisor
PF Gold
P: 11,155

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



#6
Aug105, 09:11 PM

Sci Advisor
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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