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Hermite polynomials

  1. Sep 7, 2013 #1
    Hello , i need to calculate the following integral

    [tex] \int_{-\infty}^{\infty} x^4 H(x)^2 e^{-x^2} dx[/tex]

    i tried using the recurrence relation, but i dont go the answer
     
  2. jcsd
  3. Sep 7, 2013 #2

    vanhees71

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    What's [itex]H[/itex]? The Hermite polynomials have an index, i.e., [itex]H_n[/itex] with [itex]n \in \mathbb{N}_0[/itex].
     
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