DLMF:10.22.E16 (Q3390)

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Language	Label	Description	Also known as
English	DLMF:10.22.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\frac{1}{2}\pi}J_{0}\left(2z\sin\theta% \right)\cos\left(2n\theta\right)\mathrm{d}\theta=\tfrac{1}{2}\pi{J_{n}^{2}}% \left(z\right),}}

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DLMF:10.22.E16

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{\displaystyle{\displaystyle n=0,1,2,\ldots}}

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1jdec

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Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2ahdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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cosine function

Defining formula

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

C4.S14.E2.m2abdec

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Defining formula

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

C1.S4.SS4.m1aodec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aodec

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Sitelinks

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