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Problem with the expansion of integration by parts

  1. May 15, 2013 #1
    I've come across this funny problem while messing around with integration by parts. Probably made a mistake somewhere.


    In the integration of parts expression, it's possible to expand it further.
    [Broken]
    [Broken]




    Plugging the second expression into the first, we get
    [Broken]




    I don't think this is standard notation, but it's better than writing out all the "violin holes". :smile:
    [Broken]





    Expanding ad infinitum we get
    [Broken]



    The problem is that it seems like we will get an infinite string of polynomials on the right hand side, but not on the left.
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. May 15, 2013 #2
    It may not actually be a problem, just a weird result from recursion.
     
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