Show that a holomorphic function satisfying $|f(z)|\leq c|z|^n$ must be $f(z)=a\cdot z^n$ for some a.
31736
Removable singularities and an entire function
56628
If $f: D(0,1)\to \mathbb C$ is holomorphic, then there is a sequence $\{z_n\}$ in $D(0,1)$ such that $|z_n| \to 1$ and $\{f(z_n)\}$ is bounded
111635
Show that if $f(z)$ is a continuous function on a domain $D$ such that $f(z)^N$ is analytic for some integer $N$, then $f(z)$ is analytic on $D$.
106290
Prove a function is constant. (complex analysis)
68071
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 $n$.
136793
Does there exist a holomorphic function $\varphi(z)$ such that $\varphi^2(z) = \psi(z)$
55138
An analytic function $f$ on $\{z \in\mathbb{C} : |z|>1 \}$
19399
$f^2$ and $f^3$ are holomorphic implies $f$ is holomorphic.
134195
Holomorphic function $f:B(0,1) \to B(1,4)$ with $f(0)=3$ and $f(\frac{1}{2})=1$
10389
Does there exist an holomorphic function such that $|f(z)|\geq \frac{1}{\sqrt{|z|}}$?
14067
If f uniformly continous then $|f(x)|\leq C\cdot (1+|x|)$ for constant C
150124
Holomorphic function such that $f(\frac{1}{n})=\frac{1}{n+1}$.
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)
5365
Bound on $|f'(0)|$ of a holomorphic funtion in the unit disk
82229
Show if complex function $f(z)$ contains all real coefficients then $f(\bar z)$ = $\bar {f(z)}$
20955
Let $f(z)$ be analytic on $\mathbb{D}$ = {${z\in\mathbb{C}:|z-1|<1}$} such that $f(1) = 1$, if $f(z) = f(z^2)$ for all $z\in\mathbb{D}$,
42487
$f(z)$ and $g(z)$ are Meromorphic functions such $|f(z)|\le|g(z)|$ for all $z\in\mathbb{C} $ then $ f=ag$