- #1
shebbbbo
- 17
- 0
Let f: ℂ→ ℂ be an entire function. If there is some nonnegative integer m and positive constants M,R such that
|f(z)| ≤ M|z|m, for all z such that |z|≥ R,
show that f is a polynomial of degree less that or equal to m.
im really lost on this question. i feel like because there is an inequality sign that i may have to use the ML inequality but I've tried that and i didnt get very far? am i going in the right direction?
any help or hints would be appreciated :-)
thanks
|f(z)| ≤ M|z|m, for all z such that |z|≥ R,
show that f is a polynomial of degree less that or equal to m.
im really lost on this question. i feel like because there is an inequality sign that i may have to use the ML inequality but I've tried that and i didnt get very far? am i going in the right direction?
any help or hints would be appreciated :-)
thanks