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

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ksoileau

Posts: 85
From: Houston, TX
Registered: 3/9/08
Product formula for Hermite polynomials
Posted: Jan 19, 2013 4:38 PM
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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



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