All entire function with $f(\frac{1}{n})=\frac{1}{n^2}$
106643
problem using identity theorem
82371
$f$ is an entire function with Im $f\geq 0$
70542
Entire function problem: translation
155444
Show that entire function $f$ is a polynomial of degree at most $n$
3818
Proving two entire functions are constant.
28011
Does there exists an entire function such that for each $|z|>C$ for some constant $C$, $|f(z)|=|z|+1$?
1071
Determine all functions $f:\mathbb{N}\rightarrow\mathbb{N}$ such that $xf(y)+yf(x)=(x+y)f(x^2+y^2)$ for all $x,y\in\mathbb{N}$ (contest question)
56827
Functions that are their Own nth Derivatives for Real $n$
107518
Entire function $f$ such that $|f(z)| ≤ K |z|^3$ for $|z|\ge1$ and $f(z) = f(iz)$ for every $z∈C$
62251
"Maximum common divisor" for entire functions
98399
Suppose $f$ and $g$ are entire functions, and $|f(z)| \leq |g(z)|$ for all $z \in \mathbb{C}$, Prove that $f(z)=cg(z)$.
135017
Test $f_n = (1+\frac{1}{n^2})^n$ for convergence and give its limit if it exists.
20907
Entire function, Liouville and zeroes
140614
Show that $\sum^\infty_{n=m}\frac{1}{n^2} = O(\frac{1}{m})$
62966
Find all functions $f(x)$ such that $f\left(x^2+f(y)\right)$=$y+(f(x))^2$
139614
Polynomial bounded real part of an entire function
76285
Suppose $f$ is entire and $|f(z)| \leq 1/|Re z|^2$ for all $z$. Show that $f $ is identically $0$.