DLMF:4.37.E19 (Q1938)

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DLMF:4.37.E19
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    arccosh z = ln ( ± ( z 2 - 1 ) 1 / 2 + z ) , hyperbolic-inverse-cosine 𝑧 plus-or-minus superscript superscript 𝑧 2 1 1 2 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}z=\ln\left(\pm(z^{2}-1)^{1/2% }+z\right),}}
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