Rational Solver
0 votes

Consider the function $f,g:\mathbb C \rightarrow \mathbb C$ defined by $f(z) = e^z, g(z) = e^{iz}$. Let $S = \{z \in \mathbb C: \mbox{Re }z \in [-\pi, \pi] \}$. Then  

  1.  $f$ is an onto entire function.
  2. $g$ is a bounded function on $\mathbb C$.
  3. $f$ is bounded on $S$. 
  4. $g$ is bounded on $S$.
in Complex Analysis by Expert (2.4k points) | 21 views

Please log in or register to answer this question.

Welcome to Rational Solver, where you can ask questions and receive answers from other members of the community.
49 questions
8 answers
1 comment
1,737 users