DLMF:12.7.E2 (Q4125)

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Language	Label	Description	Also known as
English	DLMF:12.7.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(-n-\tfrac{1}{2},z\right)=D_{n}\left(z% \right)=e^{-\frac{1}{4}z^{2}}\mathit{He}_{n}\left(z\right)=2^{-n/2}e^{-\frac{1% }{4}z^{2}}H_{n}\left(z/\sqrt{2}\right),}}

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DLMF:12.7.E2

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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.m2adec

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Defining formula

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

C18.S3.T1.t1.r14.m2adec

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Defining formula

{\displaystyle{\displaystyle D_{\NVar{\nu}}\left(\NVar{z}\right)}}

C12.S1.p3.m6aadec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

C12.S2.SS1.p1.m1aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C12.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C12.S1.XMD4.m1dec

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