- #1
harmonie_Best
- 7
- 0
Homework Statement
Show that if f is an entire function which satisfies (a) I am f(z) > - 10 or (b) |f(z)| >= 5, then f is constant.
Homework Equations
liouville's theorem, Cauchy's inequality(?)
The Attempt at a Solution
Want to show that both are bounded as it will satisfy liouville's theorem and prove they are constant,
So there exists an M [tex]\in[/tex] R s.t. |f(z)| <= M, for all z [tex]\in[/tex] f(z)
Just get really confused now, can't see how to get it so that the sign is the other way round. Do you take the negative of both to change direction of the sign =/
Thank you!