DLMF:4.37.E18 (Q1937)

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DLMF:4.37.E18
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    Statements

    test
    arcsinh ⁡ ( i ⁢ y ) = - 1 2 ⁢ π ⁢ i ± ln ⁡ ( ( y 2 - 1 ) 1 / 2 - y ) , hyperbolic-inverse-sine 𝑖 𝑦 plus-or-minus 1 2 𝜋 𝑖 superscript superscript 𝑦 2 1 1 2 𝑦 {\displaystyle{\displaystyle\operatorname{arcsinh}\left(iy\right)=-\tfrac{1}{2% }\pi i\pm\ln\left((y^{2}-1)^{1/2}-y\right),}}
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    DLMF id
    DLMF:4.37.E18
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