DLMF:4.23.E23 (Q1775)

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DLMF:4.23.E23
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    Statements

    test
    arccos ⁡ z = - 2 ⁢ i ⁢ ln ⁡ ( ( 1 + z 2 ) 1 / 2 + i ⁢ ( 1 - z 2 ) 1 / 2 ) , 𝑧 2 𝑖 superscript 1 𝑧 2 1 2 𝑖 superscript 1 𝑧 2 1 2 {\displaystyle{\displaystyle\operatorname{arccos}z=-2i\ln\left(\left(\frac{1+z% }{2}\right)^{1/2}+i\left(\frac{1-z}{2}\right)^{1/2}\right),}}
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    DLMF id
    DLMF:4.23.E23
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    constraint
    z ∈ ℂ ∖ ( - ∞ , - 1 ) ∪ ( 1 , ∞ ) 𝑧 1 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,-1)\cup(1,\infty)}}
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    Symbols used
    Q10923
    test
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2abdec
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