A condition of linearity for a holomorphic function
138809
Consequences of a fixed point of a bounded, complex analytic function
83014
Holomorphic function interpolating $e^{-n}$
62901
Bound for Analytic Function on Unit Disk
131000
A proof of a criterion of vanishing of a function.
10389
Does there exist an holomorphic function such that $|f(z)|\geq \frac{1}{\sqrt{|z|}}$?
106175
A function is analytic if and only if it is holomorphic
62640
Show a given analytic function is constant
44458
Uniform limit of holomorphic functions
23585
Show that a holomorphic function satisfying $|f(z)|\leq c|z|^n$ must be $f(z)=a\cdot z^n$ for some a.
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.
124139
If $f(f(x))$ is a linear function, must $f(x)$ be linear?
114488
If $|f|+|g|$ is constant on $D,$ prove that holomorphic functions $f,~g$ are constant on $D$.
115863
Every harmonic function is the real part of a holomorphic function
54196
When is a function satisfying the Cauchy-Riemann equations holomorphic?
94680
Holomorphic function $f$ such that $f'(z_0) \neq 0$
74891
sum of holomorphic functions
22153
Power Series of a Holomorphic Function determined by its Real Part and $f(0)$?