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A Integral involving Hermite polynomials

  1. Feb 18, 2017 #1
    Hello. I've an integral:
    [itex]\int_{-\infty}^{0}x\exp(-x^2)H_n(x-a)H_n(x+a)dx[/itex]
    Of course for any given [itex]n[/itex] it can be calculated, but I'm interested if there is some general formula for arbitrary [itex]n[/itex]. Could someone with access type that into Mathematica? In case that there exists general formula, idea how to derive it would be even better. Thanks in advance.
     
  2. jcsd
  3. Feb 23, 2017 #2
    Thanks for the thread! 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? The more details the better.
     
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