Is there an analytic function (on the open unit disk) satisfying $\forall k \in \mathbb{Z}^+\left[f(\frac1{2k})=f(\frac1{2k+1})=\frac1{2k}\right]$?
133427
analytic function on $\mathbb{C}$ such that $f\Bigl(\frac{1}{2n}\Bigr)=f\Bigl(\frac{1}{2n+1}\Bigr)=\frac{1}{2n}$
150124
Holomorphic function such that $f(\frac{1}{n})=\frac{1}{n+1}$.
63446
The existence of analytical branch of the logarithm of a holomorphic function
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
74392
Show that a function satisfies the Cauchy-Riemann function if and only if $\frac{df}{d\overline{z}}=0$
51047
Analytic continuation of a power series 2
65414
One-one analytic functions on unit disc
34060
Laurent Series of $f(z) = \sin {\frac{1}{z}}$ at $z=0$
50427
Is function $f:\mathbb C-\{0\}\rightarrow\mathbb C$ prescribed by $z\rightarrow \large \frac{1}{z}$ by definition discontinuous at $0$?
18611
An analytic function with a simple pole
147764
show that $f(z)+f(z^2)+\cdots + f(z^n)+\cdots$ converges locally uniformly to an analytic function in the unit disk.
123249
An analytic function $f$ on $|z|<1$ with $\sup_{|z|<1} |f(z)|=1$ and $|f(0)|=\frac{1}{2}$ has no zeros in $|z|<\frac{1}{2}$
134195
Holomorphic function $f:B(0,1) \to B(1,4)$ with $f(0)=3$ and $f(\frac{1}{2})=1$
16555
If $\mathbb f$ is analytic and bounded on the unit disc with zeros $a_n$ then $\sum_{n=1}^\infty \left(1-\lvert a_n\rvert\right) \lt \infty$
136793
Does there exist a holomorphic function $\varphi(z)$ such that $\varphi^2(z) = \psi(z)$
93400
Prove that an analytic function with a constant imaginary part is constant itself
118136
Finding univalent function with $f(z_1)=z_2$