Definition:Inverse Hyperbolic Cosecant/Complex/Definition 1

Definition
The inverse hyperbolic cosecant is a multifunction defined as:


 * $\forall z \in \C_{\ne 0}: \map {\csch^{-1} } z := \set {w \in \C: z = \map \csch w}$

where $\map \csch w$ is the hyperbolic cosecant function.

Also see

 * Equivalence of Definitions of Complex Inverse Hyperbolic Cosecant