Example 38.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.4_gr_1.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.4_gr_2.gif],
here  [Graphics:Images/ConformalMapDictionary.4_gr_3.gif], [Graphics:Images/ConformalMapDictionary.4_gr_4.gif], [Graphics:Images/ConformalMapDictionary.4_gr_5.gif]  and  [Graphics:Images/ConformalMapDictionary.4_gr_6.gif], [Graphics:Images/ConformalMapDictionary.4_gr_7.gif], [Graphics:Images/ConformalMapDictionary.4_gr_8.gif],
and the angles are  [Graphics:Images/ConformalMapDictionary.4_gr_9.gif][Graphics:Images/ConformalMapDictionary.4_gr_10.gif].

 [Graphics:Images/ConformalMapDictionary.4_gr_11.gif]    [Graphics:Images/ConformalMapDictionary.4_gr_12.gif]

 

[Graphics:../Images/ConformalMapDictionary.4_gr_13.gif]    [Graphics:../Images/ConformalMapDictionary.4_gr_14.gif]

 

Details 38.

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