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

Help with Legendre Differential equation

  1. Jul 6, 2009 #1
    I have never seen the Legendre Function and the Legendre function of the second kind multiplied together for a solution. Can someone point me in the right direction to learn more about solving these equations with solutions like this? Thanks very much
    Last edited: Jul 7, 2009
  2. jcsd
  3. Jul 7, 2009 #2


    User Avatar
    Science Advisor

    What you have written is pretty much unintelligble. You say "the solution is given by" but your formula includes things that are not in the equation and are not defined separtely. In particular you say "[itex]\overline{r}_</\overline{r}_> for r,r_q[/itex] yet there is no r or rq in your equation.

    In any case, the solutions to the Legendre's equation are, as you might suspect from the name, the Legendre functions, not products of Legendre functions.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook