DLMF:18.17.E25 (Q5766)

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Language	Label	Description	Also known as
English	DLMF:18.17.E25	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}\left(x\right)\cos\left(xy\right)\mathrm{d}% x=(-1)^{m}\sqrt{\tfrac{1}{2}\pi}n!\,y^{2m}e^{-\frac{1}{2}y^{2}}L^{(2m)}_{n}% \left(y^{2}\right),}}

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DLMF:18.17.E25

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Defining formula

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

C18.S3.T1.t1.r14.m2acdec

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Defining formula

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

C18.S3.T1.t1.r12.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2afdec

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Defining formula

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

C1.S4.SS4.m1axdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2ahdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3axdec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1tdec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1xdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1vdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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