Example 47.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.4_gr_114.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.4_gr_115.gif],
here  [Graphics:Images/ConformalMapDictionary.4_gr_116.gif], [Graphics:Images/ConformalMapDictionary.4_gr_117.gif], [Graphics:Images/ConformalMapDictionary.4_gr_118.gif]  and  [Graphics:Images/ConformalMapDictionary.4_gr_119.gif], [Graphics:Images/ConformalMapDictionary.4_gr_120.gif], [Graphics:Images/ConformalMapDictionary.4_gr_121.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.4_gr_122.gif].   
Also  [Graphics:Images/ConformalMapDictionary.4_gr_123.gif].  

 [Graphics:Images/ConformalMapDictionary.4_gr_124.gif]    [Graphics:Images/ConformalMapDictionary.4_gr_125.gif]

 

[Graphics:../Images/ConformalMapDictionary.4_gr_126.gif]    [Graphics:../Images/ConformalMapDictionary.4_gr_127.gif]

 

Details 47.

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