Shi

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

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  Plot of $\mathrm{Shi}$ on $[-10,10]$.

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  Domain coloring of $\mathrm{Shi}$.

<center>$\ast$-integral functions

Cosine integral

Cosh integral

Exp integral $E_n$

Exp integral $\mathrm{Ei}$

Fresnel $C$

Fresnel $S$

Gudermannian

Inverse $\mathrm{gd}$

Sine integral

Log integral

Sinh integral

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