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Images under exp in complex plane

  1. Mar 1, 2006 #1
    Describe the image under exp of the line with equation y = x. To do this you should find an equation (at least parametrically) for the image (you can start with the parametric form x = t; y = t), plot it reasonably carefully, and explain what happens in the limits as t approaches infinity and t approaches negative infinity.

    Not very certain where I should start. Should I use rectangular coordinates or polar?
  2. jcsd
  3. Mar 1, 2006 #2
    Here exp is notation for euler's number in the complex plane.
  4. Mar 2, 2006 #3


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    You have the line in parametric form, are you able to write down it's image under exp(z) in parametric form?
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