DLMF:10.27.E6 (Q3496)

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DLMF:10.27.E6
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    Statements

    test
    I ν ⁡ ( z ) = e ∓ ν ⁢ π ⁢ i / 2 ⁢ J ν ⁡ ( z ⁢ e ± π ⁢ i / 2 ) , modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 minus-or-plus 𝜈 𝜋 𝑖 2 Bessel-J 𝜈 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 2 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=e^{\mp\nu\pi i/2}J_{\nu}% \left(ze^{\pm\pi i/2}\right),}}
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    DLMF id
    DLMF:10.27.E6
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    constraint
    - π ≤ ± ph ⁡ z ≤ 1 2 ⁢ π 𝜋 plus-or-minus phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{2}\pi}}
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