List questions from complex-numbers

Published on 17 Apr 2026 - 9:53

27

Views

Finding the set {$z\in \mathbb{C}|2z+2i-3\in [0,\infty)$}

Published on 10 Apr 2026 - 7:17

58

Views

Complex Equation problem

Published on 09 Apr 2026 - 4:26

170

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$\int_{|z+1|=2}^{}\frac{e^z}{z-2}dz \leq2\pi e$

Published on 15 Apr 2026 - 0:44

136

Views

Show that $\frac{1}{2\pi} \int_0^{2\pi} e^{ik\theta}d\theta = 1$ or $0$ depending on $k$.

Published on 17 Apr 2026 - 20:31

2.6k

Views

If $z$ is a complex number whose imaginary part is non zero, and $z + 1/z $ is real, what is $z$?

Published on 15 Apr 2026 - 5:11

216

Views

A double Summation involving 7th roots of unity

Published on 23 Apr 2026 - 5:59

8.5k

Views

Evaluate and find the principal value of $(-1+i)^ {2-i}$

Published on 16 Apr 2026 - 10:26

267

Views

Convert a complex number into trigonometric form.

Published on 09 Apr 2026 - 21:59

55

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evaluating Pi with imaginairy unit i leads to contradiction!

Published on 12 Apr 2026 - 21:12

59

Views

Proof for $|1 - z| \geq 1 - |z|$ for $|z| < 1$, $z \in \mathbb{C}$

Published on 13 Apr 2026 - 22:14

445

Views

Half Angle Trig and Complex Numbers

Published on 09 Apr 2026 - 16:24

303

Views

Finding the fourth roots of $\,5(\cos(3)+i\sin(3)).$

Published on 15 Apr 2026 - 7:44

70

Views

Special feature of the function f(z) = $|i + z|^2 + az + 3$

Published on 16 Apr 2026 - 14:19

1.1k

Views

Verify Euler's formula

Published on 13 Apr 2026 - 20:13

List Question

Sherman-Morrison formula for Hermitian updates

Finding the set {$z\in \mathbb{C}|2z+2i-3\in [0,\infty)$}

Complex Equation problem

$\int_{|z+1|=2}^{}\frac{e^z}{z-2}dz \leq2\pi e$

Show that $\frac{1}{2\pi} \int_0^{2\pi} e^{ik\theta}d\theta = 1$ or $0$ depending on $k$.

If $z$ is a complex number whose imaginary part is non zero, and $z + 1/z $ is real, what is $z$?

A double Summation involving 7th roots of unity

Evaluate and find the principal value of $(-1+i)^ {2-i}$

Convert a complex number into trigonometric form.

evaluating Pi with imaginairy unit i leads to contradiction!

Proof for $|1 - z| \geq 1 - |z|$ for $|z| < 1$, $z \in \mathbb{C}$

Half Angle Trig and Complex Numbers

Finding the fourth roots of $\,5(\cos(3)+i\sin(3)).$

Special feature of the function f(z) = $|i + z|^2 + az + 3$

Verify Euler's formula

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