Definition:Inverse Hyperbolic Cotangent/Complex/Definition 1

Definition
Let $\coth: \C \to \C$ denote the hyperbolic cotangent as defined on the set of complex numbers.

The inverse hyperbolic cotangent is a multifunction defined as:


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

Also see

 * Equivalence of Definitions of Inverse Hyperbolic Cotangent


 * Definition:Inverse Hyperbolic Sine
 * Definition:Inverse Hyperbolic Cosine
 * Definition:Inverse Hyperbolic Tangent
 * Definition:Inverse Hyperbolic Secant
 * Definition:Inverse Hyperbolic Cosecant