Find $\lambda\in \mathbb{C}$ s.t. $\exists$ entire $f$, s.t. $f(z)=f(\lambda z),~\forall z\in\mathbb{C}$
104609
For which $a$ does the equation $f(z) = f(az) $ has a non constant solution $f$
86473
Find all entire functions such that $|f(z)|\leq |\sin(z)|$ for all $z\in\mathbb C$.
103019
Find all functoins $f: \mathbb R \rightarrow \mathbb R$ such that $\forall x,y \in \mathbb R f(xy+f(x))=xf(y)+f(x)$
100968
Why is $|e^{i \lambda z}| |e^{- \lambda y}|= |e^{- \lambda y}|$ here?
133386
If $f$ is entire and $\lim_\limits{z\to\infty} \frac{f(z)}{z} = 0$ show that $f$ is constant
128477
Entire function constant, where $f(z)=f(z+1)$ and $|f(z)|< e^{|z|}$.
73419
For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.
13270
Prove $\exists \xi \in (a,b):f'(\xi)<1+f^2(\xi)$
107518
Entire function $f$ such that $|f(z)| ≤ K |z|^3$ for $|z|\ge1$ and $f(z) = f(iz)$ for every $z∈C$
58178
Property of Entire Functions
102553
How to show that $f(z) = f(i)$
136056
$ f:\mathbb C\rightarrow \mathbb C$ defined by $f(z)=0$, if $Re(z)=0$ or $Im(z)=0$ and $f(z)=z$, otherwise.
123432
If $f: \mathbb{C} \to \mathbb{C}$ is continuous and analytic off $[-1,1]$ then is entire.
117533
$|A-\lambda I|$ and $|\lambda I-A|$
149328
A function such that $f:\mathbb C \to \mathbb C$ such that $f(z)f(iz)=z^2$ satisfies $f(z)+f(-z)=0$.(MADHAVA-2020)
147429
Set of points in $\mathbb{C}$ s.t. $z^{n-1} = \overline z$
99927
The closure of $\{ z:|f(z)|<c\}$ is the set $\{z:|f(z)|\leq c\}$.