Difference between revisions of "Sinh"

From specialfunctionswiki
Jump to: navigation, search
Line 1: Line 1:
 
The hyperbolic sine function is defined by
 
The hyperbolic sine function is defined by
 
$$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$
 
$$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$
[[File:Complex Sinh.jpg|500px]]
 
  
 +
<div align="center">
 +
<gallery>
 +
File:Complex Sinh.jpg|[[Domain coloring]] of [[analytic continuation]] of $\sinh$.
 +
</gallery>
 +
 +
</div>
 
<center>{{:Hyperbolic trigonometric functions footer}}</center>
 
<center>{{:Hyperbolic trigonometric functions footer}}</center>

Revision as of 05:27, 20 March 2015

The hyperbolic sine function is defined by $$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$

<center>Hyperbolic trigonometric functions
</center>