simple example of composed conformal mapping
Because , the mapping is conformal in the whole -plane. Denote (where ) and
(1) |
(2) |
(3) |
Then the mapping means a dilation in the complex plane, the mapping a rotation by the angle and the mapping a translation determined by the vector from the origin to the point . Thus is composed of these three consecutive mappings which all are conformal.
Title | simple example of composed conformal mapping |
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Canonical name | SimpleExampleOfComposedConformalMapping |
Date of creation | 2013-03-22 16:47:25 |
Last modified on | 2013-03-22 16:47:25 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 8 |
Author | pahio (2872) |
Entry type | Example |
Classification | msc 30E20 |
Classification | msc 53A30 |