- #1
Polamaluisraw
- 21
- 0
Complex Variables - Mappings under e^z
Find the image of S1,S2 under ez.
S1 = {z=x+iy : 0 < y < [itex]\pi[/itex] }
S2 = {z=x+iy : x > 0, 0 < y < [itex]\pi[/itex] }
w=ez
w=[itex]\rho[/itex]ei[itex]\varphi[/itex]
[itex]\rho[/itex]=ex, [itex]\varphi[/itex]=y
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!
Homework Statement
Find the image of S1,S2 under ez.
S1 = {z=x+iy : 0 < y < [itex]\pi[/itex] }
S2 = {z=x+iy : x > 0, 0 < y < [itex]\pi[/itex] }
Homework Equations
w=ez
w=[itex]\rho[/itex]ei[itex]\varphi[/itex]
[itex]\rho[/itex]=ex, [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: