Hermite Polynomial identity

  • Thread starter appelberry
  • Start date
  • #1
23
0
Does anyone know how to prove the following identity:

[tex]\Sigma_{k=0}^{n}\left(\stackrel{n}{k}\right) H_{k}(x)H_{n-k}(y)=2^{n/2}H_{n}(2^{-1/2}(x+y))[/tex]

where [tex]H_{i}(z)[/tex]represents the Hermite polynomial?
 

Answers and Replies

  • #2
402
1
I would try induction on n.
 

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