Question

Adding complex numbers in a sum

score 45 · Answer 1 · 2026-04-29 15:17:05

45

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Adding complex numbers in a sum

Published on 29 Apr 2026 - 15:17

score 71 · Answer 2 · 2026-03-25 22:06:39

71

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Draw solutions to complex number inequality $0 < \arg[(1-i)\overline z ] \le \frac \pi 4$

Published on 25 Mar 2026 - 22:06

score 37 · Answer 3 · 2026-04-17 11:32:15

37

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If $x=1+i\sqrt 3$ and $y=1-i\sqrt 3$ and $z=2$, then for any prime $p>3, x^p+y^p=$?

Published on 17 Apr 2026 - 11:32

score 43 · Answer 4 · 2026-04-13 17:32:52

43

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What is a way to prove, that holomorphic functions, when multiplied will give a result, that is also holomorphic?

Published on 13 Apr 2026 - 17:32

score 83 · Answer 5 · 2026-04-16 05:11:51

83

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Show that $z(t)=\frac{1+it}{1-it}$ describes a circumference on the complex plane.

Published on 16 Apr 2026 - 5:11

score 45 · Answer 6 · 2026-04-16 09:38:48

45

Views

Show that $z(t) = \frac{a+bt}{c+dt}$ with $ad-bc\neq 0$ describes a circumference or a line.

Published on 16 Apr 2026 - 9:38

score 52 · Answer 7 · 2026-04-14 06:07:30

52

Views

Determine set of points in the complex plane that satisfies the following equation

Published on 14 Apr 2026 - 6:07

score 407 · Answer 8 · 2026-04-11 07:36:51

407

Views

Solving Complex Differential Equations using Power Series

Published on 11 Apr 2026 - 7:36

score 5.9k · Answer 9 · 2026-04-10 04:42:50

5.9k

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Finding zeros of polynomial given a complex zero

Published on 10 Apr 2026 - 4:42

score 306 · Answer 10 · 2026-04-14 11:57:16

306

Views

Argument of a complex fraction, why different answers?

Published on 14 Apr 2026 - 11:57

score 77 · Answer 11 · 2026-04-14 10:29:59

77

Views

How to find the Roots of the Polynomial $1 + s^{12}$ analytically

Published on 14 Apr 2026 - 10:29

score 48 · Answer 12 · 2026-04-12 18:08:09

48

Views

what will be the decomposition of the function $f(x) = i^x$

Published on 12 Apr 2026 - 18:08

score 30 · Answer 13 · 2026-04-14 21:32:18

30

Views

Find complex number $K=\frac{\sqrt{1+z^2} + iz}{z - i\sqrt{1+z^2}}$

Published on 14 Apr 2026 - 21:32

score 59 · Answer 14 · 2026-03-25 08:07:03

59

Views

Principal Branch of Complicated Complex Function

Published on 25 Mar 2026 - 8:07

score 76 · Answer 15 · 2026-04-16 07:17:59

76

Views

Exam question: Showing $z = \left(\frac{1 +z}{\left|1 + z\right|} \right)^2$ for $z\in\mathbb{C}$ and $\left| z \right| = 1$

Published on 16 Apr 2026 - 7:17

List Question

Adding complex numbers in a sum

Draw solutions to complex number inequality $0 < \arg[(1-i)\overline z ] \le \frac \pi 4$

If $x=1+i\sqrt 3$ and $y=1-i\sqrt 3$ and $z=2$, then for any prime $p>3, x^p+y^p=$?

What is a way to prove, that holomorphic functions, when multiplied will give a result, that is also holomorphic?

Show that $z(t)=\frac{1+it}{1-it}$ describes a circumference on the complex plane.

Show that $z(t) = \frac{a+bt}{c+dt}$ with $ad-bc\neq 0$ describes a circumference or a line.

Determine set of points in the complex plane that satisfies the following equation

Solving Complex Differential Equations using Power Series

Finding zeros of polynomial given a complex zero

Argument of a complex fraction, why different answers?

How to find the Roots of the Polynomial $1 + s^{12}$ analytically

what will be the decomposition of the function $f(x) = i^x$

Find complex number $K=\frac{\sqrt{1+z^2} + iz}{z - i\sqrt{1+z^2}}$

Principal Branch of Complicated Complex Function

Exam question: Showing $z = \left(\frac{1 +z}{\left|1 + z\right|} \right)^2$ for $z\in\mathbb{C}$ and $\left| z \right| = 1$

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