Example 11.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.1_gr_88.gif].  The image of the upper half-plane  [Graphics:Images/ConformalMapDictionary.1_gr_89.gif]  is the exterior of the circle  [Graphics:Images/ConformalMapDictionary.1_gr_90.gif].

[Graphics:Images/ConformalMapDictionary.1_gr_91.gif][Graphics:Images/ConformalMapDictionary.1_gr_92.gif]

 

Remark. The term [Graphics:Images/ConformalMapDictionary.1_gr_93.gif] is part of the composition in the mapping  [Graphics:Images/ConformalMapDictionary.1_gr_94.gif].

 

Details 11.

 

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