Definition:Inverse Hyperbolic Secant/Complex/Definition 1

Definition
Let $\operatorname{sech}: \C \to \C$ denote the hyperbolic secant as defined on the set of complex numbers.

The inverse hyperbolic secant is a multifunction defined as:


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

Also see

 * Equivalence of Definitions of Inverse Hyperbolic Secant


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