How to prove in a concise way that $\{f(kz):k \in \mathbb{C}\}$ is a normal family?
73419
For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.
139667
Show that $f(z) = cg(z)$ is valid for two analytic functions $f$ and $g$ given a certain relationship between them
157844
If $f: \mathbb{C} \to \mathbb{C}$ is analytic and not linear, then $z, f(z), f(f(z)), \dots$ are linearly independent functions over $\mathbb{C}.$
80186
How to show that $K\leq S_4$ is a normal subgroup?
19245
Schwartz Distribution Theory: (Non-)Surjectivity of $f \mapsto f*f$ in $ \mathcal E '$
135577
Prove the existence of $c$ such that $f'(c) = 2c(f(c) - f(0))$
124179
Proof that every metric space is normal
78997
If $L/K$ normal and $H = \operatorname{Aut}(L/K)$, then $L/L^H$ is separable and $L^H/K$ is purely inseparable.
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
135441
When is $\mathbb{Z}[\alpha]$ dense in $\mathbb{C}$?
145104
$T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
44259
Heine-Borel Theorem ($\mathbb{R}^k$) (in ZF)
124844
Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
44934
Show that every normal subgroup can be written as an intersection of $\ker \chi$'s for $\chi \in \operatorname{Irr}(G).$
68436
Groups in derived series are normal in the whole group
103501
Question about a normal equation proof
68409
Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$