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 $\sinh$.