Example 22.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.2_gr_91.gif].  
The image of the upper half-plane  [Graphics:Images/ConformalMapDictionary.2_gr_92.gif]  is the horizontal strip  [Graphics:Images/ConformalMapDictionary.2_gr_93.gif],  
and  [Graphics:Images/ConformalMapDictionary.2_gr_94.gif], [Graphics:Images/ConformalMapDictionary.2_gr_95.gif], and [Graphics:Images/ConformalMapDictionary.2_gr_96.gif] and  [Graphics:Images/ConformalMapDictionary.2_gr_97.gif], [Graphics:Images/ConformalMapDictionary.2_gr_98.gif], and [Graphics:Images/ConformalMapDictionary.2_gr_99.gif].  

[Graphics:Images/ConformalMapDictionary.2_gr_100.gif]    [Graphics:Images/ConformalMapDictionary.2_gr_101.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_102.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_103.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_104.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_105.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_106.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_107.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_108.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_109.gif]

 

[Graphics:../Images/ConformalMapDictionary.2_gr_110.gif]    [Graphics:../Images/ConformalMapDictionary.2_gr_111.gif]

 

Solution 22.

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