probabilists' Hermite polynomials (Q98513493)

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polynomial sequence

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Language	Label	Description	Also known as
English	probabilists' Hermite polynomials	polynomial sequence

Statements

subclass of

polynomial sequence

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defining formula

${\displaystyle {\mathit {He}}_{n}(x)=(-1)^{n}e^{\frac {x^{2}}{2}}{\frac {d^{n}}{dx^{n}}}e^{-{\frac {x^{2}}{2}}}}$

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computes solution to

Hermite differential equation (probabilists')

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maintained by WikiProject

WikiProject Mathematics

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different from

Hermite polynomial

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Sitelinks

Wikipedia(1 entry)

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• enwiki Probabilist's Hermite polynomials

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