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Formula:2341

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Digital Library of Mathematical Functions ID 4.37.E11

arccosh ⁡ ( - z ) = ± π ⁢ i + arccosh ⁡ z , hyperbolic-inverse-cosine 𝑧 plus-or-minus 𝜋 𝑖 hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\left(-z\right)=\pm\pi i+% \operatorname{arccosh}z,}}


Constraint(s)

ℑ ⁡ z ≷ 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}}

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}} :
  • ℑ ⁡ absent {\displaystyle{\displaystyle\Im}} : imaginary part
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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