Example 43.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.4_gr_60.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.4_gr_61.gif],
here  [Graphics:Images/ConformalMapDictionary.4_gr_62.gif], [Graphics:Images/ConformalMapDictionary.4_gr_63.gif], [Graphics:Images/ConformalMapDictionary.4_gr_64.gif], [Graphics:Images/ConformalMapDictionary.4_gr_65.gif]  and  [Graphics:Images/ConformalMapDictionary.4_gr_66.gif], [Graphics:Images/ConformalMapDictionary.4_gr_67.gif], [Graphics:Images/ConformalMapDictionary.4_gr_68.gif], [Graphics:Images/ConformalMapDictionary.4_gr_69.gif],
and the angles are  [Graphics:Images/ConformalMapDictionary.4_gr_70.gif].
Also  [Graphics:Images/ConformalMapDictionary.4_gr_71.gif].

 [Graphics:Images/ConformalMapDictionary.4_gr_72.gif]    [Graphics:Images/ConformalMapDictionary.4_gr_73.gif]

 

[Graphics:../Images/ConformalMapDictionary.4_gr_74.gif]    [Graphics:../Images/ConformalMapDictionary.4_gr_75.gif]

 

Details 43.

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