List questions from complex-numbers

Published on 12 Apr 2026 - 12:53

103

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How to approach this complex numbers question?

Published on 09 Apr 2026 - 15:42

107

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How to prove a fomula is real or not?

Published on 11 Apr 2026 - 23:53

44

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Finding Im(z) by putting two terms under a common denominator

Published on 12 Apr 2026 - 8:51

146

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View on the complex plane a set of points that satisfy the conditions $|\pi -\arg(z)|>\frac \pi 4$

Published on 14 Apr 2026 - 23:50

236

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Mobius tranformation as composition of functions

Published on 08 Apr 2026 - 5:06

63

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Complex number fraction

Published on 10 Apr 2026 - 1:11

339

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Find $\sum\limits_{k=0}^{n-1}\,\omega_n^{k^2\ell}$, where $\omega_n:=\exp\left(\frac{2\pi\text{i}}{n}\right)$.

Published on 17 May 2026 - 3:13

175

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Question about a puzzle I am making up: $\lim_{x\to \infty} \sqrt[x]{-1}$

Published on 13 Apr 2026 - 4:21

291

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$Re\left((1-z^2)^{\frac{1}{2}}+iz\right) > 0$ for $z\in\mathbb{C}\setminus\{z: Im(z) =0, |z|\ge1\}$

Published on 16 Apr 2026 - 0:55

1.3k

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Zeta Function In Real And Imaginary Parts

Published on 15 Apr 2026 - 13:29

569

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Use of Rouche's Theorem

Published on 12 Apr 2026 - 21:22

67

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Solve for the reflection coefficient in terms of $\beta$

Published on 11 Apr 2026 - 6:33

159

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How to prove a polynomial function with complex root is coercive?

Published on 09 Apr 2026 - 22:56

43

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How to show that polynomial equation?

Published on 11 Apr 2026 - 3:46

List Question

limaçon in complex plane defined by $u^2+u, |u|=1$

How to approach this complex numbers question?

How to prove a fomula is real or not?

Finding Im(z) by putting two terms under a common denominator

View on the complex plane a set of points that satisfy the conditions $|\pi -\arg(z)|>\frac \pi 4$

Mobius tranformation as composition of functions

Complex number fraction

Find $\sum\limits_{k=0}^{n-1}\,\omega_n^{k^2\ell}$, where $\omega_n:=\exp\left(\frac{2\pi\text{i}}{n}\right)$.

Question about a puzzle I am making up: $\lim_{x\to \infty} \sqrt[x]{-1}$

$Re\left((1-z^2)^{\frac{1}{2}}+iz\right) > 0$ for $z\in\mathbb{C}\setminus\{z: Im(z) =0, |z|\ge1\}$

Zeta Function In Real And Imaginary Parts

Use of Rouche's Theorem

Solve for the reflection coefficient in terms of $\beta$

How to prove a polynomial function with complex root is coercive?

How to show that polynomial equation?

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