Suppose $f$ is an entire function such that $|f(z)| \le 2 \ln (|z|+1)$ for all $z \in \Bbb{C}$. Prove that $f(z) = 0$ for all $z \in \Bbb{C}$.
Here is my solution which I am hoping someone could check:
First, it easily follows from the hypothesis that $f(0)= 0$, so if we could prove $f$ is con...-1
The OEIS, aka Sloane, is an online repository of over $3,20,000$ integer sequences. Now, suppose I have an integer sequence, say, $a_1, a_2, a_3, ...$ I look for this sequence in OEIS. The sequence is unavailable.
Maybe there are two sequences in OEIS such that my sequence is a sum of those two...
