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A problem while verifying the generating function of Legendre Polynomials.

  1. Apr 6, 2012 #1
    Our professor gave us an a problem to solve, she asked us to prove or verify the following identity:

    http://img818.imageshack.us/img818/5082/6254.png [Broken]

    Where [itex]\Phi[/itex] is the Generating function of Legendre polynomials given by:

    [itex]\Phi[/itex](x,h)= (1 - 2hx + h2)-1/2


    2. This Identity is from (Mathematical Methods in The Physical Sciences, Mary L.Boas, page 491)


    She told us to start By solving the last term & then plug in the first two terms. I have differentiated the function so many times, failed to at least verfy that the identity really equals zero.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Apr 6, 2012 #2

    vela

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    You must be making a mistake differentiating or in the algebra, but we can't help you find it if you don't show your work.
     
  4. Apr 7, 2012 #3
    Also, I remember some of the Legendre proofs involve recursive relationships. I don't think this is one of them, but it may be (I haven't worked out since this is your HW).
     
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