Author Topic: Quiz3-5E  (Read 265 times)

Qiaoyi Zhang

  • Newbie
  • *
  • Posts: 3
  • Karma: 0
    • View Profile
Quiz3-5E
« on: October 09, 2020, 01:31:41 PM »
Show that the function $w=g(z)=e^{z^2}$ maps the lines ${x=y}$ and ${x=-y}$ onto the circle ${|w|}=1$. Show further that g maps each of the two pieces of the region $\{x+iy: x^2>y^2\}$ onto ${|w|}>1$ and $\{x+iy: x^2<y^2\}$ onto ${|w|}<1$