Hello. I've an integral:(adsbygoogle = window.adsbygoogle || []).push({});

[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.

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# A Integral involving Hermite polynomials

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