List questions from complex-numbers

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Results in $\mathbb{R}^{2n}$ applying to $\mathbb{C}^{n}$

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Show that $|{|2\overline{z}+5 |(\sqrt2 - i)} | = \sqrt3 |2z+5|$, where z is a complex number.

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(complex number to exponential )any help is appreciated

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Find symmetric points with respect to the unit circle

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Complex conjugation of a complex function

Published on 21 Nov 2018 - 16:43

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Recover complex function from its real part

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Extracting the phase of a determinant

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Solve for $z$, which satisfy $\arg(z-3-2i) = \frac{\pi}{6}$ and $\arg(z-3-4i) = \frac{2\pi}{3}$.

Published on 22 Nov 2018 - 3:53

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Recover complex function from its imaginary part

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General method to find sum of binomial

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$\sum q^n\sin(nx)$ complex analysis

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A simple question in complex analysis

Published on 21 Nov 2018 - 17:20

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Recover complex function from the real part

Published on 22 Nov 2018 - 17:53

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If $f : D(0;1) \setminus \{ 0 \}$ holomorphic such that $f(1/n) = 0$ then either $f=0$ or $f$ has an essential singularity at $0$

Published on 25 Mar 2026 - 8:13

List Question

Holomorphic integrals

Results in $\mathbb{R}^{2n}$ applying to $\mathbb{C}^{n}$

Show that $|{|2\overline{z}+5 |(\sqrt2 - i)} | = \sqrt3 |2z+5|$, where z is a complex number.

(complex number to exponential )any help is appreciated

Find symmetric points with respect to the unit circle

Complex conjugation of a complex function

Recover complex function from its real part

Extracting the phase of a determinant

Solve for $z$, which satisfy $\arg(z-3-2i) = \frac{\pi}{6}$ and $\arg(z-3-4i) = \frac{2\pi}{3}$.

Recover complex function from its imaginary part

General method to find sum of binomial

$\sum q^n\sin(nx)$ complex analysis

A simple question in complex analysis

Recover complex function from the real part

If $f : D(0;1) \setminus \{ 0 \}$ holomorphic such that $f(1/n) = 0$ then either $f=0$ or $f$ has an essential singularity at $0$

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