Difference between revisions of "Shi"
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The hyperbolic sine integral is defined by the formula | The hyperbolic sine integral is defined by the formula | ||
| − | $$\mathrm{Shi}(z)=\displaystyle\int_0^z \dfrac{\mathrm{sinh}(t)}{t} | + | $$\mathrm{Shi}(z)=\displaystyle\int_0^z \dfrac{\mathrm{sinh}(t)}{t} \mathrm{d}t.$$ |
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File: | + | File:Shiplot.png|Plot of $\mathrm{Shi}$. |
| − | File: | + | File:Complexshiplot.png|[[Domain coloring]] of $\mathrm{Shi}$. |
| − | |[[Domain coloring | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
| − | + | {{:*-integral functions footer}} | |
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 23:11, 11 June 2016
The hyperbolic sine integral is defined by the formula $$\mathrm{Shi}(z)=\displaystyle\int_0^z \dfrac{\mathrm{sinh}(t)}{t} \mathrm{d}t.$$
Plot of $\mathrm{Shi}$.
Domain coloring of $\mathrm{Shi}$.
