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

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Posts: 137
Registered: 3/4/09
Re: Product formula for Hermite polynomials
Posted: Jan 24, 2013 3:50 PM
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On Sat, 19 Jan 2013 13:38:03 -0800 (PST), 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

an other link

lemme 2.2 with the proof

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