Example 44.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.4_gr_76.gif].
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.4_gr_77.gif],
here [Graphics:Images/ConformalMapDictionary.4_gr_78.gif], [Graphics:Images/ConformalMapDictionary.4_gr_79.gif],  and  [Graphics:Images/ConformalMapDictionary.4_gr_80.gif], [Graphics:Images/ConformalMapDictionary.4_gr_81.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.4_gr_82.gif],  
(additionally for [Graphics:Images/ConformalMapDictionary.4_gr_83.gif] we would have [Graphics:Images/ConformalMapDictionary.4_gr_84.gif]  and  [Graphics:Images/ConformalMapDictionary.4_gr_85.gif], [Graphics:Images/ConformalMapDictionary.4_gr_86.gif]).  
Also  [Graphics:Images/ConformalMapDictionary.4_gr_87.gif].  

 [Graphics:Images/ConformalMapDictionary.4_gr_88.gif]    [Graphics:Images/ConformalMapDictionary.4_gr_89.gif]

 

[Graphics:../Images/ConformalMapDictionary.4_gr_90.gif]    [Graphics:../Images/ConformalMapDictionary.4_gr_91.gif]

 

Details 44.

 
Under Construction
 
Return to the Complex Analysis Project

 

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