Definition:Inverse Hyperbolic Cosecant/Complex/Definition 1

Definition
The inverse hyperbolic cosecant is a multifunction defined as:


 * $\forall z \in \C_{\ne 0}: \operatorname{csch}^{-1} \left({z}\right) := \left\{{w \in \C: z = \operatorname{csch} \left({w}\right)}\right\}$

where $\operatorname{csch} \left({w}\right)$ is the hyperbolic cosecant function.

Also see

 * Equivalence of Definitions of Complex Inverse Hyperbolic Cosecant