
Re: Product formula for Hermite polynomials
Posted:
Jan 20, 2013 12:50 PM


On Saturday, January 19, 2013 3:38:03 PM UTC6, 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

