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Do you have an idea to solve this integral?

  1. Oct 23, 2015 #1
    1. The problem statement, all variables and given/known data
    this is laguerre integral

    x%3D%5Cfrac%7B1%7D%7Bn%7D%5Cfrac%7B%28p%21%29%5E%7B3%7D%7D%7B%28p-n%29%21%7D%5Cdelta%20_%7Bpa%7D.gif


    2. Relevant equations

    3D%5Cfrac%7B%5Cmathrm%7Bd%5E%7Bn%7D%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%5E%7Bn%7D%7DL_%7Bp%7D%28x%29.gif

    7D%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%5E%7Bp%7D%7D%20%28e%5E%7B-x%7Dx%5E%7Bp%7D%29%20%5Cright%20%5D.gif

    hrm%7Bd%5E%7Bp%7D%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%5E%7Bp%7D%7D%20%28e%5E%7B-x%7Dx%5E%7Bp-n%7D%29.gif

    m%7Bd%5E%7Bp-n%7D%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%5E%7Bp-n%7D%7D%20%28e%5E%7B-x%7Dx%5E%7Bp%7D%29.gif


    3. The attempt at a solution


    I used 4th equation and 1st

    and I stuck here
    %7Bn%7D%7D%20%7D%7B%5Cmathrm%7Bd%7D%20x%5E%7Bn%7D%7D%5CL_%7Ba%7D%5E%7Bn%7D%20%5Cright%20%5D%20dx.gif

    how to get rid of gif.gif
    or any other idea?
    ___________________________________

    ** hint**solution without gif.gif is
    gif.gif
     
    Last edited by a moderator: Oct 30, 2015
  2. jcsd
  3. Oct 29, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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