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