- #1

- 21

- 0

**Complex Variables - Mappings under e^z**

## Homework Statement

Find the image of S

_{1},S

_{2}under e

^{z}.

S

_{1}= {z=x+iy : 0 < y < [itex]\pi[/itex] }

S

_{2}= {z=x+iy : x > 0, 0 < y < [itex]\pi[/itex] }

## Homework Equations

w=e

^{z}

w=[itex]\rho[/itex]e

^{i[itex]\varphi[/itex]}

[itex]\rho[/itex]=e

^{x}, [itex]\varphi[/itex]=y

## The Attempt at a Solution

Did not know how to get started. I don't know how to use the above equations to help me. Thank you very very much!

Last edited: