DLMF:28.10.E10 (Q8289)

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No description defined

Language	Label	Description	Also known as
English	DLMF:28.10.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\pi}J_{0}\left(2\sqrt{q}(\cos\tau+\cos% \zeta)\right)\mathrm{ce}_{n}\left(\tau,q\right)\mathrm{d}\tau=w_{\mbox{\tiny II% }}(\pi;a_{n}\left(q\right),q)\mathrm{ce}_{n}\left(\zeta,q\right).}}

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DLMF:28.10.E10

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S2.SS6.p1.m7aedec

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Defining formula

{\displaystyle{\displaystyle a_{\NVar{n}}\left(\NVar{q}\right)}}

C28.S2.SS5.p1.m3aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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cosine function

Defining formula

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

C4.S14.E2.m2agdec

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Defining formula

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

C1.S4.SS4.m1aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aidec

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Defining formula

{\displaystyle{\displaystyle q=h^{2}}}

C28.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C28.S1.XMD2.m1idec

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Defining formula

{\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}

C28.S2.XMD4.m1adec

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Sitelinks

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