       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>

```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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