Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Legendre Polynomials

  1. Aug 1, 2005 #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.
  2. jcsd
  3. Aug 1, 2005 #2
    Well you could use the recursion formulae. I haven't seen them listed too high anywhere.
  4. Aug 1, 2005 #3


    User Avatar
    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. Aug 1, 2005 #4


    User Avatar
    Science Advisor

  6. Aug 1, 2005 #5


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Does not the Rodrigues' formula eventually give you coefficients of the terms ?
  7. Aug 1, 2005 #6


    User Avatar
    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} -
    {2048} +
    {2048} -
    {2048} +
    Aren't I nice?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook