# Difference between revisions of "Sinh"

From specialfunctionswiki

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The hyperbolic sine function is defined by | The hyperbolic sine function is defined by | ||

$$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$ | $$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$ | ||

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+ | <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 $$\mathrm{sinh}(z)=\dfrac{e^z-e^{-z}}{2}.$$

- Complex Sinh.jpg
Domain coloring of analytic continuation of $\sinh$.

**Hyperbolic trigonometric functions**