DLMF:18.17.E24 (Q5765)

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Language	Label	Description	Also known as
English	DLMF:18.17.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-x^{2}}\mathit{He}_{2n}\left(2% x\right)\cos\left(xy\right)\mathrm{d}x=(-1)^{n}\tfrac{1}{2}\sqrt{\pi}e^{-\frac% {1}{4}y^{2}}\mathit{He}_{2n}\left(y\right).}}

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DLMF:18.17.E24

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Defining formula

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

C18.S3.T1.t1.r14.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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cosine function

Defining formula

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

C4.S14.E2.m2aedec

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Defining formula

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

C1.S4.SS4.m1awdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3awdec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1sdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1wdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1udec

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Sitelinks

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