List questions from complex-numbers

Published on 14 Apr 2026 - 3:46

84

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Complex power of a real number

Published on 16 Apr 2026 - 0:45

2.7k

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Square root and distribution

Published on 12 Apr 2026 - 7:25

875

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Prove $\left(z^n\right)' = nz^{n-1}$

Published on 15 Apr 2026 - 23:22

939

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General formula for $\sin\left(k\arcsin (x)\right)$

Published on 14 Apr 2026 - 0:43

85

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A problem on Complex differentiability

Published on 10 Apr 2026 - 1:00

168

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Prove that $\prod_{k=0}^{n-1}(z-\mathrm{e}^{2k\pi i/n})=z^n-1$

Published on 15 Apr 2026 - 17:14

50

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How do I show $|\frac{i\overline{z}}{2} - \frac{i}{2}|=|z - 1|?$

Published on 14 Apr 2026 - 4:06

68

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Simple identity involving complex numbers

Published on 08 Apr 2026 - 14:20

170

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If $z_i+z_jz_k$ are real, then $z_1z_2z_3=1$

Published on 14 Apr 2026 - 13:31

1.8k

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Finding the cube root of a complex number $z$

Published on 10 Apr 2026 - 4:40

74

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The set of points in complex plane that satisfy a strict linear inequality is open

Published on 17 Apr 2026 - 9:09

39

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Radius of Convergence (Non-Series)

Published on 15 Apr 2026 - 19:14

74

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Use complex number to solve this equation $\int e ^{3x} cos x dx$?

Published on 13 Apr 2026 - 21:36

1.9k

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Is product of two square roots of two integers square root of their products?

Published on 10 Apr 2026 - 15:43

List Question

Express complex function in the form $u+iv$

Complex power of a real number

Square root and distribution

Prove $\left(z^n\right)' = nz^{n-1}$

General formula for $\sin\left(k\arcsin (x)\right)$

A problem on Complex differentiability

Prove that $\prod_{k=0}^{n-1}(z-\mathrm{e}^{2k\pi i/n})=z^n-1$

How do I show $|\frac{i\overline{z}}{2} - \frac{i}{2}|=|z - 1|?$

Simple identity involving complex numbers

If $z_i+z_jz_k$ are real, then $z_1z_2z_3=1$

Finding the cube root of a complex number $z$

The set of points in complex plane that satisfy a strict linear inequality is open

Radius of Convergence (Non-Series)

Use complex number to solve this equation $\int e ^{3x} cos x dx$?

Is product of two square roots of two integers square root of their products?

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