Find Legendre Polynomials of Order 15+

AI Thread Summary
Legendre Polynomials of order 15 and above are not commonly found online, but users can utilize recursion formulas or software like Mathematica to generate them. Several online resources, such as efunda.com and hyperphysics.phy-astr.gsu.edu, provide information on Legendre Polynomials. Rodrigues' formula can also be used to derive the coefficients for these polynomials. A detailed example of the 14th order polynomial was shared in the discussion. Overall, users are encouraged to explore these methods and resources for their needs.
thepaqster
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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!
 
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Well you could use the recursion formulae. I haven't seen them listed too high anywhere.
 
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.
 
Does not the Rodrigues' formula eventually give you coefficients of the terms ?
 
Here's the 14th order:
-\left( \frac{429}{2048}<br /> \right) + <br /> \frac{45045\,x^2}{2048} - <br /> \frac{765765\,x^4}{2048} + <br /> \frac{4849845\,x^6}{2048} - <br /> \frac{14549535\,x^8}<br /> {2048} + <br /> \frac{22309287\,x^{10}}<br /> {2048} - <br /> \frac{16900975\,x^{12}}<br /> {2048} + <br /> \frac{5014575\,x^{14}}{2048}
Aren't I nice?
 
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