DLMF:10.22.E66 (Q3440)

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Language	Label	Description	Also known as
English	DLMF:10.22.E66	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}J_{\nu}\left(bt\right)J_{% \nu}\left(ct\right)\mathrm{d}t=\frac{1}{\pi(bc)^{\frac{1}{2}}}\*Q_{\nu-\frac{1% }{2}}\left(\frac{a^{2}+b^{2}+c^{2}}{2bc}\right),}}

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DLMF:10.22.E66

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{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2aaydec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aydec

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Defining formula

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

C1.S4.SS4.m1abmdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abmdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aamdec

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Defining formula

{\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m5adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1asdec

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Sitelinks

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