List questions from complex-numbers

Published on 12 Apr 2026 - 17:53

46

Views

Find $a$ and $b$ such that $\Re(az^2+bz)\leq \Im(az^2+bz)$

Published on 17 Apr 2026 - 9:54

254

Views

Is $f$ holomorphic?

Published on 12 Apr 2026 - 10:41

345

Views

Showing that a function is constant on a disc D

Published on 10 May 2026 - 13:46

101

Views

Is the complex space $\mathbb C\times \mathbb C$ a field?

Published on 09 Apr 2026 - 21:08

358

Views

Doing a standard integral with complex numbers instead of using a trigonometric substitution

Published on 09 Apr 2026 - 4:37

56

Views

$|f(z)|=|f(z_0)|$ implies $f(z)=f(z_0)$ for all $z\in\{z:|z-z_0|<r\}$

Published on 15 Apr 2026 - 8:14

58

Views

Find real/complex zeros

Published on 14 Apr 2026 - 2:27

78

Views

Find the radius of convergence of a series centered at a point

Published on 16 Apr 2026 - 0:37

51

Views

Proving $\overline{a}b|c|=|a|\overline{b}c$ for equation $az^2+bz+c=0$

Published on 15 Apr 2026 - 18:14

91

Views

Is there a way of defining an "imaginary" number which is not i?

Published on 11 Apr 2026 - 1:27

59

Views

Will we consider -√2 as a solution?

Published on 09 Apr 2026 - 12:46

126

Views

Expand $(2i-2)^{38}$ using de Moivre's formula

Published on 10 Apr 2026 - 16:18

178

Views

Solve complex equation $z^3=\left(\sqrt3+i\right)^9$

Published on 14 Apr 2026 - 13:16

92

Views

Prove that complex numbers $z_1$, $z_2$ and $\frac{z_1-iz_2}{1-i}$ form a right triangle

Published on 16 Apr 2026 - 16:02

List Question

Finding range of arguments where loci do not intersect

Find $a$ and $b$ such that $\Re(az^2+bz)\leq \Im(az^2+bz)$

Is $f$ holomorphic?

Showing that a function is constant on a disc D

Is the complex space $\mathbb C\times \mathbb C$ a field?

Doing a standard integral with complex numbers instead of using a trigonometric substitution

$|f(z)|=|f(z_0)|$ implies $f(z)=f(z_0)$ for all $z\in\{z:|z-z_0|<r\}$

Find real/complex zeros

Find the radius of convergence of a series centered at a point

Proving $\overline{a}b|c|=|a|\overline{b}c$ for equation $az^2+bz+c=0$

Is there a way of defining an "imaginary" number which is not i?

Will we consider -√2 as a solution?

Expand $(2i-2)^{38}$ using de Moivre's formula

Solve complex equation $z^3=\left(\sqrt3+i\right)^9$

Prove that complex numbers $z_1$, $z_2$ and $\frac{z_1-iz_2}{1-i}$ form a right triangle

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