Definition:Hyperbolic Sine

Definition
The hyperbolic sine function is defined on the complex numbers as:


 * $\sinh: \C \to \C$:


 * $\forall z \in \C: \sinh z := \dfrac {e^z - e^{-z} } 2$

Real Hyperbolic Sine
On the real numbers it is defined similarly.

Also see

 * Definition:Hyperbolic Cosine
 * Definition:Hyperbolic Tangent
 * Definition:Hyperbolic Cotangent
 * Definition:Hyperbolic Secant
 * Definition:Hyperbolic Cosecant