Let $f$ be an entire function such that $|f(z)|\leq A+B|z|^k$ for all $z$, where $A$, $B$, $k$ are positive numbers.
Prove that $f$ is polynomial.
Let $f$ be an entire function such that $|f(z)|\leq A+B|z|^k$ for all $z$, where $A$, $B$, $k$ are positive numbers.
Prove that $f$ is polynomial.