AP
Posts:
137
Registered:
3/4/09


Re: Product formula for Hermite polynomials
Posted:
Jan 24, 2013 3:50 PM


On Sat, 19 Jan 2013 13:38:03 0800 (PST), ksoileau <kmsoileau@gmail.com> 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 http://thesis.library.caltech.edu/1861/1/wuan_thesis.pdf
lemme 2.2 with the proof

