DLMF:12.7.E3 (Q4126)

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Language	Label	Description	Also known as
English	DLMF:12.7.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle V\left(n+\tfrac{1}{2},z\right)=\sqrt{2/\pi}e^{% \frac{1}{4}z^{2}}(-i)^{n}\mathit{He}_{n}\left(iz\right)=\sqrt{2/\pi}e^{\frac{1% }{4}z^{2}}(-i)^{n}2^{-\frac{1}{2}n}H_{n}\left(iz/\sqrt{2}\right),}}

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DLMF:12.7.E3

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{\displaystyle{\displaystyle n=0,1,2,\dots}}

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Defining formula

{\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r13.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r14.m2aadec

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