FunctionApproximations`
FunctionApproximations`
OrderStarPlot
OrderStarPlot[r,f]
draws the order star depicting the region where 
for the functions r and f.
OrderStarPlot[r,f,z]
draws the order star where r and f are functions of z.
Details and Options
- To use OrderStarPlot, you first need to load the Function Approximations Package using Needs["FunctionApproximations`"].
- OrderStarPlot by default draws the region in the complex plane where r/f<1. With the setting OrderStarKind->Second, OrderStarPlot draws the region in the complex plane where Re[r-f]<0.
- OrderStarPlot has the same options as ContourPlot, with the following additions and changes:
-
Axes True whether to draw axes AxesOrigin {0,0} where axes should cross ColorFunction GrayLevel[1-#/2]& how to color stable and unstable regions FrameTicks None where to place frame tick marks PlotPoints 80 initial number of sample points PlotRange Automatic range of values to include Ticks None where to place tick marks AspectRatio Automatic ratio of height to width OrderStarInterpolation False whether to display points where r==f OrderStarKind First which kind of order star to draw OrderStarLegend False whether to include a plot legend OrderStarPoles {True,True} whether to indicate poles of r and f OrderStarZeros {True,True} whether to indicate zeros of r and f OrderStarSymbolSize 0.05 size of symbols OrderStarSymbolThickness 0.05 line thickness of symbols