DLMF:10.9.E26 (Q3096): Difference between revisions

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Property / constraint
 

( μ + ν ) > - 1 𝜇 𝜈 1 {\displaystyle{\displaystyle\Re(\mu+\nu)>-1}}

\realpart@@{(\mu+\nu)}>-1
Property / constraint: ( μ + ν ) > - 1 𝜇 𝜈 1 {\displaystyle{\displaystyle\Re(\mu+\nu)>-1}} / rank
 
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Revision as of 17:16, 30 December 2019

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DLMF:10.9.E26
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    Statements

    J μ ( z ) J ν ( z ) = 2 π 0 π / 2 J μ + ν ( 2 z cos θ ) cos ( ( μ - ν ) θ ) d θ , Bessel-J 𝜇 𝑧 Bessel-J 𝜈 𝑧 2 𝜋 superscript subscript 0 𝜋 2 Bessel-J 𝜇 𝜈 2 𝑧 𝜃 𝜇 𝜈 𝜃 𝜃 {\displaystyle{\displaystyle J_{\mu}\left(z\right)J_{\nu}\left(z\right)=\frac{% 2}{\pi}\int_{0}^{\pi/2}J_{\mu+\nu}\left(2z\cos\theta\right)\cos\left((\mu-\nu)% \theta\right)\mathrm{d}\theta,}}
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    DLMF:10.9.E26
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    ( μ + ν ) > - 1 𝜇 𝜈 1 {\displaystyle{\displaystyle\Re(\mu+\nu)>-1}}
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