DLMF:10.22.E15 (Q3389): Difference between revisions

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ν > - 1 𝜈 1 {\displaystyle{\displaystyle\Re\nu>-1}}

\realpart@@{\nu}>-1
Property / constraint: ν > - 1 𝜈 1 {\displaystyle{\displaystyle\Re\nu>-1}} / rank
 
Normal rank

Revision as of 17:19, 30 December 2019

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DLMF:10.22.E15
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    0 π J 2 ν ( 2 z sin θ ) sin ( 2 μ θ ) d θ = π sin ( μ π ) J ν + μ ( z ) J ν - μ ( z ) , superscript subscript 0 𝜋 Bessel-J 2 𝜈 2 𝑧 𝜃 2 𝜇 𝜃 𝜃 𝜋 𝜇 𝜋 Bessel-J 𝜈 𝜇 𝑧 Bessel-J 𝜈 𝜇 𝑧 {\displaystyle{\displaystyle\int_{0}^{\pi}J_{2\nu}\left(2z\sin\theta\right)% \sin\left(2\mu\theta\right)\mathrm{d}\theta=\pi\sin\left(\mu\pi\right)J_{\nu+% \mu}\left(z\right)J_{\nu-\mu}\left(z\right),}}
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    DLMF:10.22.E15
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    ν > - 1 𝜈 1 {\displaystyle{\displaystyle\Re\nu>-1}}
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