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Re: combining contourplot and regionplot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98465] Re: combining contourplot and regionplot
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 10 Apr 2009 04:55:14 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <grkgpr$72h$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

ContourPlot[
  Arg[Gamma[x + I*y]] == 0, {x, -5, 5}, {y, -5, 5},
  RegionFunction -> Function[{x, y, z}, Abs[Gamma[x + I*y]] > 1]
  ]

Regards
   Jens

Cristina Ballantine wrote:
> 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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