How do I plot $-\frac{\pi}{2} \leq \operatorname{Arg}\left(\frac{z}{\bar{z}}\right) \leq\frac{\pi}{2}$ on the complex plane?
114217
What is the value of $\operatorname{Arg}(\frac{z}{\bar{z}})$?
127291
Show that $\left( \frac{q}{p} \right) \equiv q^{(p-1) / 2} \mod p$, where $\left( \frac{q}{p} \right)$ is the Legendre Symbol
101671
Describe the image of the set $\{z=x+iy:x>0,y>0\}$ under the mapping $w=\frac{z-i}{z+i}$
77576
Using the triangle inequalities to prove a bound in the complex plane
47519
How to draw the Mean Value Theorem graphic with TikZ?
88801
Is there anything special with complex fraction $\left|\frac{z-a}{1-\bar{a}{z}}\right|$?
39380
How do I visualize $\exp(z)$ as a complex mapping?
148746
Calculating $\int\frac{e^{iz}}{z}\, dz$ on the semi-circle given by $re^{i\theta}$ where $\theta:\,0\to\pi$
43177
How do I rigorously show $f(z)$ is analytic if and only if $\overline{f(\bar{z})}$ is?
6483
Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$
28145
What is $\Gamma(z) \Gamma(\bar {z})$?
157200
Roots of a equation on a complex plane
105433
Graphing $y = \frac{x^2-4}{x-2}$
42988
Complex polynomial and the unit circle
4742
Find the poles and residue of the function $\frac{1}{z-\sin z }$ at $z=0$?
93543
Can I switch to polar coordinates if my function has complex poles?
20049
What is the name of the vertical bar in $(x^2+1)\vert_{x = 4}$ or $\left.\left(\frac{x^3}{3}+x+c\right) \right\vert_0^4$?