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Rodrigues’ formula of Laguerre

  1. Oct 16, 2015 #1
    1. The problem statement, all variables and given/known data
    I need to proof that Rodrigues’ formula satisfies Laguerre differential equation

    2. Relevant equations
    Rodrigues’ formula of Laguerre
    eq0022S.gif
    Laguerre differential equation
    eq0046S.gif

    3. The attempt at a solution
    first,I have to calculate gif.gif
    gif.gif

    gif.gif

    = gif.gif


    I tried to sum both terms and this is what I got
    gif.gif gif.gif

    after that I did not know what to do (what this differentiation should be)
     
  2. jcsd
  3. Oct 18, 2015 #2
    Hi jije:

    I would suggest proof by induction.

    First prove for n = 0. Then show that if true for n, it is also true for n+1.

    Hope this helps.

    Regards,
    Buzz
     
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