List questions from complex-numbers

Published on 02 Apr 2018 - 11:54

962

Views

$ A = $ { $ z \in \mathbb{C} : \vert z-1 \vert \leq \vert z-i \vert $ and $ \vert z-u \vert \leq 1 $ }

Published on 25 Mar 2026 - 16:02

29

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is there a path in the complex plane such that z^z is not equal to 1 as z->0?

Published on 03 Apr 2018 - 4:41

102

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Image of $\exp(z)$ under condition

Published on 25 Mar 2026 - 22:03

165

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What is the image of P in BC?

Published on 03 Apr 2018 - 13:59

159

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The proof of the formula $z = |z|e^{i \phi}$

Published on 03 Apr 2018 - 17:00

116

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Using a cubic equation to prove a radical

Published on 24 Mar 2026 - 22:08

3.4k

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Generalised Square of Sum of Modulus of Product of Complex Numbers

Published on 04 Apr 2018 - 3:47

33

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problem with solving one complex number problem

Published on 04 Apr 2018 - 5:24

306

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Doubt on the $n$ distinct $n$th roots of a complex number

Published on 25 Mar 2026 - 12:26

153

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Homomorphism $ z \rightarrow\frac{z}{|z|}$

Published on 25 Mar 2026 - 9:39

605

Views

How to prove $a^3 + b^3 +c^3 - 3abc =1 $, If a,b,c are infinite series as given in the description box below?

Published on 04 Apr 2018 - 9:05

276

Views

Solving a cubic with complex numbers

Published on 24 Mar 2026 - 22:06

94

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Express rational function $f: \mathbb{C} \to \mathbb{C}$ in the form $u(x,y) + iv(x,y)$.

Published on 25 Mar 2026 - 1:17

138

Views

Finding basis of complex 3 - vectors of a matrix and eigenvalues

Published on 04 Apr 2018 - 14:45

List Question

Is $\mathbb{R}^n$ a variety of $\mathbb{C}^n$?

$ A = $ { $ z \in \mathbb{C} : \vert z-1 \vert \leq \vert z-i \vert $ and $ \vert z-u \vert \leq 1 $ }

is there a path in the complex plane such that z^z is not equal to 1 as z->0?

Image of $\exp(z)$ under condition

What is the image of P in BC?

The proof of the formula $z = |z|e^{i \phi}$

Using a cubic equation to prove a radical

Generalised Square of Sum of Modulus of Product of Complex Numbers

problem with solving one complex number problem

Doubt on the $n$ distinct $n$th roots of a complex number

Homomorphism $ z \rightarrow\frac{z}{|z|}$

How to prove $a^3 + b^3 +c^3 - 3abc =1 $, If a,b,c are infinite series as given in the description box below?

Solving a cubic with complex numbers

Express rational function $f: \mathbb{C} \to \mathbb{C}$ in the form $u(x,y) + iv(x,y)$.

Finding basis of complex 3 - vectors of a matrix and eigenvalues

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