Difference between revisions of "Arcsinh"
From specialfunctionswiki
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File:Arcsinhplot.png|Plot of $\mathrm{arcsinh}$ on $[-10,10]$. | File:Arcsinhplot.png|Plot of $\mathrm{arcsinh}$ on $[-10,10]$. | ||
| − | File: | + | File:Complexarcsinhplot.png|[[Domain coloring]] of of $\mathrm{arcsinh}$. |
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Revision as of 23:53, 15 September 2016
The inverse hyperbolic sine function $\mathrm{arcsinh}$ is function is the inverse function of the hyperbolic sine function. It may be defined by $$\mathrm{arcsinh}(z)=\log \left(z + \sqrt{1+z^2} \right).$$
Plot of $\mathrm{arcsinh}$ on $[-10,10]$.
Domain coloring of of $\mathrm{arcsinh}$.
