Showing $\oint \overline{f(z)}f'(z) \,dz$ is purely imaginary.
131814
Integral with differential is purely imaginary
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
5022
Can a set containing $0$ be purely imaginary?
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
30781
Why the representation in the form of $Z'X(X'X)^{-1}X'Z$ can not be simplified into $Z'Z$
128381
Branches of $\log(z)$ on $\mathbb{C}\backslash(-\infty,0]$?
154971
A holomorphic bijection from the open unit disc to the complex plane
55347
for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$
137045
The estimate of real and imaginary part of a holomorphic function
107842
Behaviour of ($\overline{a}_n)_{n=1}^{\infty}$ and ($\underline{a}_n)_{n=1}^{\infty}$
139176
The real line is not homeomorphic to any non-trivial product space
15175
When does a Möbius transformation map $\Im(z)>0$ to itself?
1043
Image of $L=\{z\in\Bbb C \mid a\operatorname{Re}(z)+b\operatorname{Im}(z)+c=0; a^2+b^2\neq0; a,b,c\in \Bbb R \}$ under the function $e^z$
128524
Proving there is no analytic function
80650
Complex differentiability of $f(z)=|z|$
128256
How to prove $H_1(\mathbb{C}/\Lambda, \mathbb{Z})$ to the lattice $\Lambda$ ,$\gamma \mapsto \int_\gamma dz$ is well defined?
93681
Integral closure of $\mathbb{Z}$ in $\mathbb{C}$ is not finitely generated as a $\mathbb{Z}$-module?