DLMF:10.22.E18 (Q3392)

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DLMF:10.22.E18
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    0 1 2 π Y 0 ( 2 z sin θ ) cos ( 2 n θ ) d θ = 1 2 π J n ( z ) Y n ( z ) , superscript subscript 0 1 2 𝜋 Bessel-Y-Weber 0 2 𝑧 𝜃 2 𝑛 𝜃 𝜃 1 2 𝜋 Bessel-J 𝑛 𝑧 Bessel-Y-Weber 𝑛 𝑧 {\displaystyle{\displaystyle\int_{0}^{\frac{1}{2}\pi}Y_{0}\left(2z\sin\theta% \right)\cos\left(2n\theta\right)\mathrm{d}\theta=\tfrac{1}{2}\pi J_{n}\left(z% \right)Y_{n}\left(z\right),}}
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