Category:Definitions/Hyperbolic Tangent Function

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This category contains definitions related to Hyperbolic Tangent Function.
Related results can be found in Category:Hyperbolic Tangent Function.

The hyperbolic tangent function is defined on the complex numbers as:

$\tanh: X \to \C$:
$\forall z \in X: \tanh z := \dfrac {e^z - e^{-z} } {e^z + e^{-z} }$


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