DLMF:10.9.E29 (Q3099): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.9.E29	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle J_{\mu}\left(x\right)J_{\nu}\left(x\right)=\frac{% 1}{2\pi i}\int_{-i\infty}^{i\infty}\frac{\Gamma\left(-t\right)\Gamma\left(2t+% \mu+\nu+1\right)(\tfrac{1}{2}x)^{\mu+\nu+2t}}{\Gamma\left(t+\mu+1\right)\Gamma% \left(t+\nu+1\right)\Gamma\left(t+\mu+\nu+1\right)}\mathrm{d}t,}}

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DLMF:10.9.E29

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{\displaystyle{\displaystyle x>0}}

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2apdec

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Defining formula

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

C5.S2.E1.m2aidec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aabdec

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Defining formula

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

C1.S4.SS4.m1aabdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aodec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aabdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1ddec

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Sitelinks

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