DLMF:18.17.E22 (Q5763)

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Language	Label	Description	Also known as
English	DLMF:18.17.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{1}{2\sqrt{\pi}}\int_{-\infty}^{\infty}e^{-% \frac{1}{4}x^{2}}\mathit{He}_{n}\left(x\right)e^{\frac{1}{2}\mathrm{i}xy}% \mathrm{d}x={\mathrm{i}^{n}}e^{-\frac{1}{4}y^{2}}\mathit{He}_{n}\left(y\right)% ,}}

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DLMF:18.17.E22

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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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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1audec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3audec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1qdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1udec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1sdec

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