Sine integral

The sine integral is defined by $$\mathrm{Si}(z) = \displaystyle\int_0^z \mathrm{sinc}(t) dt; |\mathrm{arg} z|<\pi,$$ where $\mathrm{sinc}$ denotes the Sinc function.

• Si.png

  Graph of $\mathrm{Si}$.

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  Domain coloring of analytic continuation of $\mathrm{Si}$.

Videos

Laplace Transform of Sine Integral

References

• Generalized Sine and Cosine Integrals

<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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