Legendre Polynomials

  1. 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. jcsd
  3. Well you could use the recursion formulae. I haven't seen them listed too high anywhere.
     
  4. Stingray

    Stingray 674
    Science Advisor

    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.
     
  5. mathman

    mathman 6,617
    Science Advisor
    Gold Member

  6. Gokul43201

    Gokul43201 11,141
    Staff Emeritus
    Science Advisor
    Gold Member

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

    krab 905
    Science Advisor

    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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