DLMF:13.18.E14 (Q4583)

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Language	Label	Description	Also known as
English	DLMF:13.18.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M_{\frac{1}{4}+n,-\frac{1}{4}}\left(z^{2}\right)=% (-1)^{n}\frac{n!}{(2n)!}e^{-\frac{1}{2}z^{2}}\sqrt{z}H_{2n}\left(z\right),}}

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DLMF:13.18.E14

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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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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1mdec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.m2ahdec

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