DLMF:10.9.E1 (Q3066)

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DLMF:10.9.E1
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    J 0 ( z ) = 1 π 0 π cos ( z sin θ ) d θ = 1 π 0 π cos ( z cos θ ) d θ , Bessel-J 0 𝑧 1 𝜋 superscript subscript 0 𝜋 𝑧 𝜃 𝜃 1 𝜋 superscript subscript 0 𝜋 𝑧 𝜃 𝜃 {\displaystyle{\displaystyle J_{0}\left(z\right)=\frac{1}{\pi}\int_{0}^{\pi}% \cos\left(z\sin\theta\right)\mathrm{d}\theta=\frac{1}{\pi}\int_{0}^{\pi}\cos% \left(z\cos\theta\right)\mathrm{d}\theta,}}
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