Formula:2347

Digital Library of Mathematical Functions ID 4.37.E14

${\displaystyle{\displaystyle\operatorname{arcsech}\left(-z\right)=\mp\pi i+\operatorname{arcsech}z,}}$

Constraint(s)

${\displaystyle{\displaystyle\Im z\gtrless 0}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{arcsech}\NVar{z}}}$: inverse hyperbolic secant function
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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