DLMF:10.9.E23 (Q3093)

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DLMF:10.9.E23
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    Statements

    test
    J ν ⁡ ( z ) = 1 2 ⁢ π ⁢ i ⁢ ∫ - ∞ - i ⁢ c - ∞ + i ⁢ c Γ ⁡ ( t ) Γ ⁡ ( ν - t + 1 ) ⁢ ( 1 2 ⁢ z ) ν - 2 ⁢ t ⁢ d t , Bessel-J 𝜈 𝑧 1 2 𝜋 𝑖 superscript subscript 𝑖 𝑐 𝑖 𝑐 Euler-Gamma 𝑡 Euler-Gamma 𝜈 𝑡 1 superscript 1 2 𝑧 𝜈 2 𝑡 𝑡 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{1}{2\pi i}\int_{-% \infty-ic}^{-\infty+ic}\frac{\Gamma\left(t\right)}{\Gamma\left(\nu-t+1\right)}% (\tfrac{1}{2}z)^{\nu-2t}\mathrm{d}t,}}
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    DLMF id
    DLMF:10.9.E23
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