Definition:Inverse Hyperbolic Cotangent/Complex/Definition 1

Definition
The inverse hyperbolic cotangent is a multifunction defined as:


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

where $\coth \left({w}\right)$ is the hyperbolic cotangent function.

Also see

 * Equivalence of Definitions of Inverse Hyperbolic Cotangent