Cosine integral

The cosine integral is defined by $$\mathrm{Ci}(z) = -\displaystyle\int_z^{\infty} \dfrac{\cos t}{t} dt ; |\mathrm{arg} z|<\pi.$$

• Ci.png

  Graph of $\mathrm{arccos}$ on $(0,20)$.

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

Videos

Laplace transform of cosine 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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