DLMF:4.37.E14 (Q1933)

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DLMF:4.37.E14
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    arcsech ( - z ) = π i + arcsech z , hyperbolic-inverse-secant 𝑧 minus-or-plus 𝜋 𝑖 hyperbolic-inverse-secant 𝑧 {\displaystyle{\displaystyle\operatorname{arcsech}\left(-z\right)=\mp\pi i+% \operatorname{arcsech}z,}}
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