- #1

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## Main Question or Discussion Point

Do some one know how to integrate the

Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2), x from 0 to infinity?

Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2), x from 0 to infinity?

- Thread starter dongsh2
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- #1

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Do some one know how to integrate the

Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2), x from 0 to infinity?

Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2), x from 0 to infinity?

- #2

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Integrate [Hermite(2n+1,x)*Cos (bx)*e^(-x^2/2), {x,0, \infinity}]?

- #3

Svein

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- #4

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Thanks. However, what I want to calculate is : Integrate[Exp[-x^2/2]Cos[ b x] HermiteH[2n+1,x],{x,0,\infinity}]. I have checked some references but I cannot find the result.

- #5

Svein

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- #6

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H[2n+1, z+ib] and integral interval becomes (-i b,\infinity). Using the mathematica, it still cannot find the solutions.

- #7

Svein

Science Advisor

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I did not say it was easy, I just gave you an idea of how to attack it.However, it is not easy as what you thought.

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