Example 13.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.1_gr_104.gif].  The image of the region that lies outside the the unit circle  [Graphics:Images/ConformalMapDictionary.1_gr_105.gif]  and outside the circle [Graphics:Images/ConformalMapDictionary.1_gr_106.gif]  is the annulus  [Graphics:Images/ConformalMapDictionary.1_gr_107.gif].  For this mapping  [Graphics:Images/ConformalMapDictionary.1_gr_108.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_109.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_110.gif].

[Graphics:Images/ConformalMapDictionary.1_gr_111.gif]    [Graphics:Images/ConformalMapDictionary.1_gr_112.gif]

 

Details 13.

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