Definition:Inverse Hyperbolic Cosine/Complex/Definition 1

Definition
The inverse hyperbolic cosine is a multifunction defined as:


 * $\forall z \in \C: \cosh^{-1} \left({z}\right) := \left\{{w \in \C: z = \cosh \left({w}\right)}\right\}$

where $\cosh \left({w}\right)$ is the hyperbolic cosine function.

Also see

 * Equivalence of Definitions of Inverse Hyperbolic Cosine