Images under exp in complex plane

1. Mar 1, 2006

erraticimpulse

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. Mar 1, 2006

erraticimpulse

Here exp is notation for euler's number in the complex plane.

3. Mar 2, 2006

shmoe

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