Definition:Inverse Hyperbolic Sine/Complex/Definition 1

Definition
The inverse hyperbolic sine is a multifunction defined as:


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

where $\sinh \left({w}\right)$ is the hyperbolic sine function.

Also see

 * Equivalence of Definitions of Complex Inverse Hyperbolic Sine