List questions from complex-numbers

Published on 05 Apr 2026 - 5:24

171

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How do you determine the principal root of a unit complex number?

Published on 31 Jan 2019 - 15:23

425

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Holomorphic Polynomial from the Riemann Sphere to Itself

Published on 31 Jan 2019 - 15:44

42

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Rewriting $|z+2i|=\sqrt{2}|z+1|$ in $x+yi$ form with $x,y\in{}\mathbb{R}$

Published on 26 Mar 2026 - 19:19

229

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Counting Lattice Points

Published on 25 Mar 2026 - 16:05

88

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Show that $z\in\mathbb{C}$ satisfying $\arg\Big(\dfrac{z-1}{z+1}\Big)=\dfrac{\pi}{4}$ is a circle

Published on 31 Jan 2019 - 20:50

418

Views

Factorise polynomial with real and complex roots

Published on 25 Mar 2026 - 7:51

171

Views

Complex operator $i$ and Exponents

Published on 03 Apr 2026 - 13:01

1k

Views

$ \bigcup_{n=1}^{\infty}\{z\in\Bbb C:z^n=1\}=\{z\in\Bbb C:|z|=1\}$?

Published on 26 Mar 2026 - 8:23

232

Views

Is there a holomorphic function such that $(f(z))^3=z-z^2$

Published on 01 Feb 2019 - 17:29

31

Views

Complex number reduction problem

Published on 01 Feb 2019 - 18:39

79

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Proof that for every $z \in \mathbb C$: $z=\frac{2}{n}\sum_{k=0}^{n-1}(Re(u_{k}\overline z)u_{k})$

Published on 01 Feb 2019 - 20:28

81

Views

Solving $\lvert z\rvert^2+iz+i=0$

Published on 25 Mar 2026 - 15:58

463

Views

Does $(a + bi)^3 = (x+yi)^3 \implies a + bi = x + yi$?

Published on 02 Feb 2019 - 11:11

70

Views

Is it possible to break $f(z)=e^{z^e}$ into real and complex parts?

Published on 02 Feb 2019 - 12:15

List Question

Baby Rudin Algebraic Completeness of the Complex Field

How do you determine the principal root of a unit complex number?

Holomorphic Polynomial from the Riemann Sphere to Itself

Rewriting $|z+2i|=\sqrt{2}|z+1|$ in $x+yi$ form with $x,y\in{}\mathbb{R}$

Counting Lattice Points

Show that $z\in\mathbb{C}$ satisfying $\arg\Big(\dfrac{z-1}{z+1}\Big)=\dfrac{\pi}{4}$ is a circle

Factorise polynomial with real and complex roots

Complex operator $i$ and Exponents

$ \bigcup_{n=1}^{\infty}\{z\in\Bbb C:z^n=1\}=\{z\in\Bbb C:|z|=1\}$?

Is there a holomorphic function such that $(f(z))^3=z-z^2$

Complex number reduction problem

Proof that for every $z \in \mathbb C$: $z=\frac{2}{n}\sum_{k=0}^{n-1}(Re(u_{k}\overline z)u_{k})$

Solving $\lvert z\rvert^2+iz+i=0$

Does $(a + bi)^3 = (x+yi)^3 \implies a + bi = x + yi$?

Is it possible to break $f(z)=e^{z^e}$ into real and complex parts?

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