Plotting a circular region from a function
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    Chuck Noise
 le 4 Juin 2021
  
    
    
    
    
    Commenté : Chuck Noise
 le 15 Juin 2021
            I am working on a analysis of different numerical methods and I am trying to plot the stability region of a numerical method.
For instance if we look at the absolute stability requirements for the explicit euler method we get the condition

which yields the region of absolute stability in the complex plain shown in the image below 

where 

Now for this exact method the stability is a perfect circle and I could find a way to simply plot a circle with a radius of 1 and a center in (0,-1), but for most cases it isnt a perfect circle but rather a skewed one. 
I tried making the circle through a function handle with the variable z where I plotted it from -2<=z<=0 but it didnt turn out as I hoped.
Is there anyone that can help me in forming an function, or something else, from the inequality  and similiar inequalities?
 and similiar inequalities?
 and similiar inequalities?
 and similiar inequalities?Thanks
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