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Integral over spherical Bessel function

  1. Oct 21, 2012 #1
    Is there somebody who can help me how to solve this integral

    [tex]
    \int_{0}^{+\infty} dr r^{^{n+1}} e^{-\alpha r} j_l(kr)
    [/tex]
     
    Last edited: Oct 21, 2012
  2. jcsd
  3. Oct 21, 2012 #2

    dextercioby

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    I have a saying for this type of questions. If it's not in one of the Gradshteyn-Rytzhik editions of their famous book, then it must be discovered. :)
     
  4. Oct 21, 2012 #3
    This is the answer Mathematica gives:
     
  5. Oct 21, 2012 #4

    dextercioby

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  6. Oct 21, 2012 #5
    Thanks guys.
    I think that given formula has error in the part where it derivative by alpha instead of betha.
    For me is important a process, how i can get it.
     
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