Difference between revisions of "Shi"
From specialfunctionswiki
| Line 5: | Line 5: | ||
<gallery> | <gallery> | ||
File:Plot of hyperbolic sinh integral.png|Plot of $\mathrm{Shi}$ on $[-10,10]$. | File:Plot of hyperbolic sinh integral.png|Plot of $\mathrm{Shi}$ on $[-10,10]$. | ||
| − | File: | + | File:Complexshiplot.png|[[Domain coloring]] of $\mathrm{Shi}$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
<center>{{:*-integral functions footer}}</center> | <center>{{:*-integral functions footer}}</center> | ||
Revision as of 22:09, 23 May 2016
The hyperbolic sine integral is defined by the formula $$\mathrm{Shi}(z)=\displaystyle\int_0^z \dfrac{\mathrm{sinh}(t)}{t} \mathrm{d}t.$$
Plot of $\mathrm{Shi}$ on $[-10,10]$.
Domain coloring of $\mathrm{Shi}$.
