Plot of the hyperbolic sine integral function Shi(z) in the complex plane from −2 − 2i to 2 + 2i
Special function defined by an integral
Si(x) (blue) and Ci(x) (green) shown on the same plot.Sine integral in the complex plane, plotted with a variant of domain coloring.Cosine integral in the complex plane. Note the branch cut along the negative real axis.