find all complex numbers $z$ such that $\mid 2z/(z^2+1) \mid < 1$
123304
Locus of the points on complex plane
38568
Finding the number of zeros of $f(z) = z^n$ if $|f(z)| < 1 $ for all $z$ with $|z|=1$.
12196
Calculate Laurent series for $1/ \sin(z)$
124037
Complex prime numbers
148178
What points in the complex plane satisfy $|z|=arg(z)$.
40824
Complex Equation Of a Circle $|z-z_1|^2+|z-z_2|^2=k$.
89509
Suppose $z \neq -1$ is a complex number of norm 1. Prove that $(\frac{1+z}{|1+z|})^2 =z $
104075
Cube roots of the complex numbers 1+i?
58133
${a^2}{\mid}({b^3} + 1)\;$and$\;{b^2}{\mid}({a^3} + 1)$
117691
Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
27272
Triangle Inequality with Complex Numbers
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
82083
Solving $(z+1)^5 = z^5$
48038
If $z$ and $w$ are complex numbers such that $|(z+w)| = |(z-w)|$, prove that $\arg(z)-\arg(w) = \pm (\pi/2)$
69234
Solving Diophantine equation $1/x^2+1/y^2=1/z^2$
114822
Prove or disprove an inequality involving complex numbers
74024
Higher dimensional equivalent of complex numbers