Analytic function defined on unit disc with co-domain except negative real axis.
141115
$f$ be an analytic function defined on $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$
134199
Holomorphic function mapping a set onto a straight line
149971
Closed unit disk homeomorphic to $\mathbb{R}^2$?
132657
Function $ f $ defined on unit disk $ D $ has real values on $ \partial D $, why is $ f $ real valued?
137045
The estimate of real and imaginary part of a holomorphic function
141254
Zeros of analytic function of several real variables
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
19178
$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D
43177
How do I rigorously show $f(z)$ is analytic if and only if $\overline{f(\bar{z})}$ is?
7861
Non-analytic smooth function
96050
$f$ an analytic function on $\mathbb{C}$ which takes values in $\mathbb{C}\backslash(-\infty,0]$ implies constant
151171
Distance of nearest zero of an analytic function
59745
Behavior of holomorphic functions on the boundary of the unit disk
157296
Homeomorphism between the Unit Disc and Complex Plane
87723
Show a holomorphic function on unit disc with with $|f'(z) - f'(0)| < |f'(0)|$ is injective
53338
Analytic functions with nonessential singularity at infinity must be a polynomial
138809
Consequences of a fixed point of a bounded, complex analytic function