DLMF:10.22.E74 (Q3449)

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Language	Label	Description	Also known as
English	DLMF:10.22.E74	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}J_{\nu}\left(at\right)J_{\nu}% \left(bt\right)J_{\nu}\left(ct\right)t^{1-\nu}\mathrm{d}t=\begin{cases}\dfrac{% 2^{\nu-1}A^{\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}(abc)^{\nu}\Gamma\left(\nu+% \frac{1}{2}\right)},&A>0,\\ 0,&A\leq 0.\end{cases}}}

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DLMF:10.22.E74

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2abfdec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2avdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aaedec

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Defining formula

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

C1.S4.SS4.m1abtdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abtdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1aydec

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Sitelinks

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