New posts in Entire Functions

If $f$ is a nonconstant entire function such that $|f(z)|\geq M|z|^n$ for $|z|\geq R$, then $f$ is a polynomial of degree atleast $n$.

The set of entire function follow the condition ${|f'(z)| \leq |f(z)|}$

If $f$ is an entire function and $f(z) \not \in [0,1]$ for every $z$, then $f$ is constant

If $f$ is an entire function that goes to infinity, $f$ is a polynomial

Entire function $f(z)$ grows like $\exp(x^\pi)$ as $x\to+\infty$

Why is $\cos \sqrt z$ entire but $\sin \sqrt{z}$ isn't?

When does a multivariate power series define an entire function?

Computing $\sum_{n=0}^\infty \frac{(-1)^n}{2n+1} $

Is there an entire function with $f(\mathbb{Q}) \subset \mathbb{Q}$ and a non-finite power series representation having only rational Coeffitients

Proving that a doubly-periodic entire function $f$ is constant.