So the question asks me to prove that an entire function with positive real parts is constant, and I was thinking that this might somehow be related to showing an entire bounded function is constant (Liouville's theorem), but are there any other theorems that might help me prove this fact?
[Math] What might I use to show that an entire function with positive real parts is constant
complex-analysis
Best Answer
The other three answers are overkill to me.. Simply consider $e^{-f}$ if $f$ is your function. Is it bounded?