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combining contourplot and regionplot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98427] combining contourplot and regionplot
  • From: "Cristina Ballantine" <cballant at holycross.edu>
  • Date: Thu, 9 Apr 2009 05:57:38 -0400 (EDT)

Given a complex function (say the Gamma function), I would like to plot 
all points (x,y),  -10<x<10, -10<y<10,  that map to the interval (1, 
infinity). I need to plot all points with Arg[Gamma[x+I*y]]==0 and 
Abs[Gamma[x+I*y]]>1. Solutions to the equation can be plotted with 
ContourPlot. Solutions to the inequality can be plotted with RegionPlot. 
But how do I plot points that satisfy BOTH the equation and the inequality?
 A similar question has been asked on the Forum before but did not receive 
an answer. I am hoping this time someone can help. Thank you.

Cristina


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