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Oct 10 at 18:08 comment added user170231 @Lhachimi The plot was made in Mathematica using ComplexPlot with geometric figures overlaid via the Epilog option. Here's a quick example of how it's constructed.
Oct 10 at 17:49 comment added Lhachimi Nice approach , how did you plot the complex function with the black circle and poles drawn nicely ?
Jul 9 at 20:56 history answered user170231 CC BY-SA 4.0