Formula:KLS:09.15:05

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formula in Hermite

Formula:KLS:09.15:06 >>

${\displaystyle{\displaystyle{\displaystyle H_{n}\left(x\right)=2^{n}{\widehat{H}}_{n}\left(x\right){x}}}}$

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
${\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}$ : monic Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicHermite

Bibliography

Equation in Section 9.15 of KLS.

URL links

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