Optional Computer Example

 

Example 55.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_116.gif].
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_117.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_118.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_119.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_120.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_121.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_122.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_123.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_124.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_125.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_126.gif].

 [Graphics:Images/ConformalMapDictionary.5.1_gr_127.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_128.gif]

 

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_129.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_130.gif]

 

Details 55.

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