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



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


Re: Product formula for Hermite polynomials
Posted:
Jan 20, 2013 3:01 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
I already did that and found no answer to my question at any of these links:
http://en.wikipedia.org/wiki/Orthogonal_polynomials http://mathworld.wolfram.com/HermitePolynomial.html http://en.wikipedia.org/wiki/Hermite_polynomials
If the answer was so easy to find using Google, why did you take the trouble to write a reply without providing a link? You have a rather eccentric concept of "helpfulness."
Thanks anyway!



