DLMF:18.17.E27 (Q5768)

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Language	Label	Description	Also known as
English	DLMF:18.17.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-\frac{1}{2}x^{2}}\mathit{He}_% {2n+1}\left(x\right)\sin\left(xy\right)\mathrm{d}x=(-1)^{n}\sqrt{\tfrac{1}{2}% \pi}y^{2n+1}e^{-\frac{1}{2}y^{2}},}}

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DLMF:18.17.E27

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Defining formula

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

C18.S3.T1.t1.r14.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2andec

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Defining formula

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

C1.S4.SS4.m1azdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3azdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1vdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1zdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1xdec

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Sitelinks

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