DLMF:4.23.E20 (Q1772)

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DLMF:4.23.E20
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    Statements

    Defining formula
    arcsin ⁡ x = 1 2 ⁢ π ± i ⁢ ln ⁡ ( ( x 2 - 1 ) 1 / 2 + x ) , 𝑥 plus-or-minus 1 2 𝜋 𝑖 superscript superscript 𝑥 2 1 1 2 𝑥 {\displaystyle{\displaystyle\operatorname{arcsin}x=\tfrac{1}{2}\pi\pm i\ln% \left((x^{2}-1)^{1/2}+x\right),}}
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    DLMF id
    DLMF:4.23.E20
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    constraint
    x ∈ [ 1 , ∞ ) 𝑥 1 {\displaystyle{\displaystyle x\in[1,\infty)}}
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