Category:Definitions/Hyperbolic Cotangent Function

This category contains definitions related to Hyperbolic Cotangent Function.
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The hyperbolic cotangent function is defined on the complex numbers as:

$\coth: X \to \C$:

$\forall z \in X: \coth z := \dfrac {e^z + e^{-z} } {e^z - e^{-z}}$

where:

$X = \set {z : z \in \C, \ e^z - e^{-z} \ne 0}$