ksoileau
Posts:
85
From:
Houston, TX
Registered:
3/9/08


Product formula for Hermite polynomials
Posted:
Jan 19, 2013 4:38 PM


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

