Hermite polynomials

  • #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
 

Answers and Replies

  • #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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