Optional Computer Example

 

Example 62.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.2_gr_75.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.2_gr_76.gif],  here  [Graphics:Images/ConformalMapDictionary.5.2_gr_77.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_78.gif]  and  [Graphics:Images/ConformalMapDictionary.5.2_gr_79.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_80.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.2_gr_81.gif], [Graphics:Images/ConformalMapDictionary.5.2_gr_82.gif],  (if we include [Graphics:Images/ConformalMapDictionary.5.2_gr_83.gif] then [Graphics:Images/ConformalMapDictionary.5.2_gr_84.gif]).

[Graphics:Images/ConformalMapDictionary.5.2_gr_85.gif]    [Graphics:Images/ConformalMapDictionary.5.2_gr_86.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.2_gr_87.gif]    [Graphics:../Images/ConformalMapDictionary.5.2_gr_88.gif]

 

 Details 62.

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