Example 9.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.1_gr_72.gif].  The image of the upper half-plane  [Graphics:Images/ConformalMapDictionary.1_gr_73.gif]  is the upper half-plane  [Graphics:Images/ConformalMapDictionary.1_gr_74.gif].

[Graphics:Images/ConformalMapDictionary.1_gr_75.gif]    [Graphics:Images/ConformalMapDictionary.1_gr_76.gif]

 

 

[Graphics:../Images/ConformalMapDictionary.1_gr_77.gif]    [Graphics:../Images/ConformalMapDictionary.1_gr_78.gif]

 

Remark. The term [Graphics:../Images/ConformalMapDictionary.1_gr_79.gif] is part of the composition in the mapping  [Graphics:../Images/ConformalMapDictionary.1_gr_80.gif].

 

Details 9.

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