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I need to plot the function where z is a complex number:

$$S = {z:|z + 0.15|<0.6} \wedge {z:Pi/4<=arg(z)<=Pi}$$

I can do this:

RegionPlot[{Norm[x + y + 1.5] < 0.6}, {x, -4, 4}, {y, -4, 4}]

But it does not bound it by {z:Pi/4<=arg(z)<=Pi}

Any help would be appreciated.

Kuba
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TweedleChicken
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1 Answers1

2
RegionPlot[
 Norm[x + I y + .15] < 0.6 && Pi/4. <= Arg[x + I y] <= Pi, {x, -1, 1}, {y, -.1, 1}, 
 GridLines -> {{-.15}, {0}}, 
 PlotPoints -> 60, 
 AspectRatio -> Automatic]

enter image description here

Kuba
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