October 2009
2 posts
Inside/Outside
On my most recent Complex Analysis homework, I had to prove that a complex analytic function that doesn’t map to some nonempty disc is a constant.
Possibly easier to understand: you have some function that maps points in a plane to (possibly) different points in another plane. IF there’s some disc in the second plane that never gets “hit” by the function (i.e. no point in...