DLMF:10.9.E19 (Q3088)

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DLMF:10.9.E19
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    test
    J ν ⁡ ( z ) = ( 1 2 ⁢ z ) ν 2 ⁢ π ⁢ i ⁢ ∫ - ∞ ( 0 + ) exp ⁡ ( t - z 2 4 ⁢ t ) ⁢ d t t ν + 1 , Bessel-J 𝜈 𝑧 superscript 1 2 𝑧 𝜈 2 𝜋 𝑖 superscript subscript limit-from 0 𝑡 superscript 𝑧 2 4 𝑡 𝑡 superscript 𝑡 𝜈 1 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% }{2\pi i}\int_{-\infty}^{(0+)}\exp\left(t-\frac{z^{2}}{4t}\right)\frac{\mathrm% {d}t}{t^{\nu+1}},}}
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    DLMF id
    DLMF:10.9.E19
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