why I have this discontinuity when I plot the following function by using the MATLAB?

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I used Matlab to plot the phase of this function $f_k(z)= (-0.1540 + 0.2600i)+ ( 0.4347 + 0.0914i)z+( 0.7756 - 0.4566i)z^2.$, but its figure shows discontinuity as shown in the following figure. Could anyone please from these community experts explain why this discontinuity happened?
I will appriciate any help.
many thanks
  7 Comments
Torsten
Torsten on 19 Sep 2023
My question is why the discontinuity happens at these points?
Because atan2 is discontinous for those z values where f_k(z) is real and non-positive.

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