Branch Cuts and Branches: Imaginary

(All images created with MATLAB® software)

Figure 2: Imaginary part of the Principal Value of the cube root.

Imaginary part of the Principal Part branch of the cubic root function on the complex plane. Notice the discontinuity along the negative real axis (the branch cut).

Picture obtained using the script PlotCube in the Athena 18.04 MATLAB® Toolkit.

Figure 2: Imaginary part of the Principal Value of the cube root.