Example 12.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.1_gr_95.gif].  The image of the region inside the unit disk  [Graphics:Images/ConformalMapDictionary.1_gr_96.gif]  and outside the circle [Graphics:Images/ConformalMapDictionary.1_gr_97.gif]  is the annulus  [Graphics:Images/ConformalMapDictionary.1_gr_98.gif].  For this mapping  [Graphics:Images/ConformalMapDictionary.1_gr_99.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_100.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_101.gif].

[Graphics:Images/ConformalMapDictionary.1_gr_102.gif]    [Graphics:Images/ConformalMapDictionary.1_gr_103.gif]

 

Details 12.

 
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(c) 2008 John H. Mathews, Russell W. Howell