DLMF:10.22.E14 (Q3388): Difference between revisions

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Property / constraint
 

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

\realpart@@{\nu}>-\tfrac{1}{2}
Property / constraint: ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}} / rank
 
Normal rank

Revision as of 17:19, 30 December 2019

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DLMF:10.22.E14
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    Statements

    0 π J 2 ν ( 2 z sin θ ) cos ( 2 μ θ ) d θ = π cos ( 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)% \cos\left(2\mu\theta\right)\mathrm{d}\theta=\pi\cos\left(\mu\pi\right)J_{\nu+% \mu}\left(z\right)J_{\nu-\mu}\left(z\right),}}
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    ν > - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}
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