Does there exists a function holomorphic in the unit disk and continuous in its closure that cannot be continued any further?
130241
What is the Convergence Radius and Domain of $\sum\limits_{n=0}^\infty \frac{1}{2^{n}} z^{2^n}$?
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
64748
analytic in open unit disk,corresponding to a bounded sequence and a bounded functional sequence
106175
A function is analytic if and only if it is holomorphic
24306
Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?
32723
Open sets and holomorphic functions in Complex analysis
34344
Is a function that maps every compact set to a compact set continuous?
115781
Proof about Holomorphic functions in the unit disc
55138
An analytic function $f$ on $\{z \in\mathbb{C} : |z|>1 \}$
19178
$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D
13062
Which sets are removable for holomorphic functions?
121957
Is $p\mapsto \|f\|_p$ continuous?
76147
Bounding holomorphic function at 0 given other bounds
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
59519
What about the continuity of these functions in the uniform topology?
143920
zeroes of non-zero holomorphic function form an atmost countable set
62817
Functions which are Continuous, but not Bicontinuous