Why does $f(z) = z^n$ have no antiderivative only for $n=-1$?
116630
Antiderivative $1/z$ on $\mathbb C$
94962
For complex $z$, $|z| = 1 \implies \text{Re}\left(\frac{1-z}{1+z}\right)  = 0$
124209
How is $\ln(-1) = i\pi$?
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
18484
Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.
135606
No function $f:\mathbb{Z}\rightarrow \{1, 2, 3\}$ satisfying $f(x)\ne f(y)$ for all integers $x,y$ and $|x-y|\in\{2, 3, 5\}$
59911
Looking for help with a proof that n-th derivative of $e^\frac{-1}{x^2} = 0$ for $x=0$.
35556
$f(z)=\frac{z}{1+|z|} $ Is 1-1?
71071
Nonzero $f \in C([0, 1])$ for which $\int_0^1 f(x)x^n dx = 0$ for all $n$
84315
Why can't polynomials have negative exponents or division by a variable
33989
If $\int_0^1 f(x)x^n \ dx=0$ for every $n$, then $f=0$.
57193
Prove that $f$ has derivatives of all orders at $x=0$, and that $f^{(n)}(0)=0$ for $n=1,2,3\ldots$
154270
Why is $ \overline{e^z} = e^\overline{z} $?
86054
$r+r^{-1}$ integral implies $r^n+r^{-n}$ integral
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
32525
If $f(1)=1$, then is it true that $f(n)=n$ for all $n \in \mathbb{N}\cup\{0\}$.
40041
Proof of Non-Ordering of Complex Field