Date: Jan 19, 2013 4:38 PM Author: ksoileau Subject: Product formula for Hermite polynomials 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