Conformal Mappings

 

 

Example 5.2. Show that the transformation w = exp(z) maps the rectangle
[Graphics:c20.txtgr1.gif]
onto a portion of an annular region bounded by two rays.

For illustration we use [Graphics:c20.txtgr2.gif].

 

Image of a rectangle under the mapping w = exp(z).

 

 

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(c) John Mathews, 1998, 2006