DLMF:4.23.E35 (Q1787)

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DLMF:4.23.E35
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    Statements

    Defining formula
    arccos ⁡ z = arccos ⁡ β - i ⁢ sign ⁡ ( y ) ⁢ ln ⁡ ( α + ( α 2 - 1 ) 1 / 2 ) , 𝑧 𝛽 imaginary-unit sign 𝑦 𝛼 superscript superscript 𝛼 2 1 1 2 {\displaystyle{\displaystyle\operatorname{arccos}z=\operatorname{arccos}\beta-% \mathrm{i}\operatorname{sign}\left(y\right)\ln\left(\alpha+(\alpha^{2}-1)^{1/2% }\right),}}
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    DLMF id
    DLMF:4.23.E35
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