DLMF:10.32.E12 (Q3532)

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DLMF:10.32.E12
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    Statements

    test
    I ν ⁡ ( z ) = 1 2 ⁢ π ⁢ i ⁢ ∫ ∞ - i ⁢ π ∞ + i ⁢ π e z ⁢ cosh ⁡ t - ν ⁢ t ⁢ d t , modified-Bessel-first-kind 𝜈 𝑧 1 2 𝜋 𝑖 superscript subscript 𝑖 𝜋 𝑖 𝜋 superscript 𝑒 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=\frac{1}{2\pi i}\int_{% \infty-i\pi}^{\infty+i\pi}e^{z\cosh t-\nu t}\mathrm{d}t,}}
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    DLMF id
    DLMF:10.32.E12
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    constraint
    | ph ⁡ z | < 1 2 ⁢ π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
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