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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.

MORE INFORMATION

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 rf
	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

ContourPlot RegionPlot

Function Approximations Package

Function Approximations Package

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