# Trigonometric Integral Functions

Trigonometric Integral Functions

The trigonometric integrals are special functions defined as , , , , . As functions of a complex variable, they can be visualized by plotting their real part, imaginary part, or absolute value.

Chi(z)=γ+t+log(z)

z

∫

0

cosh(t)-1

t

Ci(z)=γ+t+log(z)

z

∫

0

cos(t)-1

t

Shi(z)=t

z

∫

0

sinh(t)

t

Si(z)=t

z

∫

0

sin(t)

t

Ei(z)=-t

∞

∫

-z

-t

t