Example 14.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.1_gr_113.gif].  The image of the region that lies in the left half plane  [Graphics:Images/ConformalMapDictionary.1_gr_114.gif]  and outside the the unit circle [Graphics:Images/ConformalMapDictionary.1_gr_115.gif]  is the annulus  [Graphics:Images/ConformalMapDictionary.1_gr_116.gif].  For this mapping  [Graphics:Images/ConformalMapDictionary.1_gr_117.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_118.gif]  and  [Graphics:Images/ConformalMapDictionary.1_gr_119.gif].
[Graphics:Images/ConformalMapDictionary.1_gr_120.gif]    [Graphics:Images/ConformalMapDictionary.1_gr_121.gif]

 

Details 14.

 
Under Construction
 
Return to the Complex Analysis Project

 

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