- #1

- 23

- 0

[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?

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- Thread starter appelberry
- Start date

- #1

- 23

- 0

[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?

- #2

- 402

- 1

I would try induction on n.

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