Formula:KLS:09.15:03

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formula in Hermite

Formula:KLS:09.15:04 >>

${\displaystyle{\displaystyle{\displaystyle H_{n+1}\left(x\right)-2xH_{n}\left(x\right)+2nH_{n-1}\left(x\right)=0}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : Hermite polynomial ${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : http://dlmf.nist.gov/18.3#T1.t1.r28

Bibliography

Equation in Section 9.15 of KLS.

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