Do analytic functions on open subsets of $\mathbb{C}$ with an analytic square root form a sheaf?
125517
Presheaf which is not a sheaf -- holomorphic functions which admit a holomorphic square root
64748
analytic in open unit disk,corresponding to a bounded sequence and a bounded functional sequence
148833
Why can't an analytic function be injective in a neighborhood of an essential singularity?
62901
Bound for Analytic Function on Unit Disk
125251
Show that a function from a Riemann Surface $g:Y\to\mathbb{C}$ is holomorphic iff its composition with a proper holomorphic map is holomorphic.
128381
Branches of $\log(z)$ on $\mathbb{C}\backslash(-\infty,0]$?
154971
A holomorphic bijection from the open unit disc to the complex plane
148512
No analytic function $f$ has modulus $|f(z)|=1/\cosh(\Re z)$
63701
An example of a regular function over an open set
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
96050
$f$ an analytic function on $\mathbb{C}$ which takes values in $\mathbb{C}\backslash(-\infty,0]$ implies constant
153411
If $|f|$ is constant, so is $f$ for $f$ analytic on a domain $D$.
141115
$f$ be an analytic function defined on $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$
116092
Non constant analytic function from $\{z\in\mathbb{C}:z\neq 0\}$ to $\{z\in\mathbb{C}:|z|>1\}.$
74245
Characterizing non-constant entire functions with modulus $1$ on the unit circle
19178
$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D
71094
Proof that 1-1 analytic functions have nonzero derivative