Difference between revisions of "Shi"

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File:Plot of hyperbolic sinh integral.png|Plot of $\mathrm{Shi}$ on $[-10,10]$.  
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File:Shiplot.png|Plot of $\mathrm{Shi}$.  
 
File:Complexshiplot.png|[[Domain coloring]] of $\mathrm{Shi}$.
 
File:Complexshiplot.png|[[Domain coloring]] of $\mathrm{Shi}$.
 
</gallery>
 
</gallery>

Revision as of 22:10, 23 May 2016

The hyperbolic sine integral is defined by the formula $$\mathrm{Shi}(z)=\displaystyle\int_0^z \dfrac{\mathrm{sinh}(t)}{t} \mathrm{d}t.$$

<center>$\ast$-integral functions
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