DLMF:18.17.E26 (Q5767)

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Language	Label	Description	Also known as
English	DLMF:18.17.E26	No description defined

Statements

Defining formula

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

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DLMF:18.17.E26

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Defining formula

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

C18.S3.T1.t1.r14.m2addec

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Defining formula

{\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r12.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2amdec

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Defining formula

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

C1.S4.SS4.m1aydec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aidec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aedec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aydec

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Defining formula

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

C4.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1udec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1ydec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1wdec

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Sitelinks

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