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Topic: Product formula for Hermite polynomials
Replies: 5   Last Post: Jan 24, 2013 3:50 PM

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Don Redmond

Posts: 57
Registered: 5/5/11
Re: Product formula for Hermite polynomials
Posted: Jan 20, 2013 12:50 PM
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On Saturday, January 19, 2013 3:38:03 PM UTC-6, ksoileau wrote:
> I'm looking for a formula which expresses the product of two Hermite polynomials as a linear combination of Hermite polynomials, i.e. $a_{m,n,i}$ verifying
>
> $$
>
> H_m(x)H_n(x)=\sum \limits_{i=0}^{m+n} a_{m,n,i} H_i(x).
>
> $$
>
> for all nonegative $m,n$.
>
>
>
> If such a formula is known, I'd be most appreciative of a citation or link describing it.
>
>
>
> Thanks for any help!
>
>
>
> Kerry M. Soileau


Try Google. The first entry in my search gave an answer to your question.

Don



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