List questions from complex-numbers

Published on 04 Apr 2018 - 15:02

52

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Largest disc centered at $z_0$ in which $f$ is holomorphic

Published on 25 Mar 2026 - 9:26

47

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Prove that if $f$ is an holomorphic function with certain conditions then $f=0$

Published on 25 Mar 2026 - 9:32

47

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If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

Published on 25 Mar 2026 - 1:18

77

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Which totally complex number field's embeddings correspond to geometric rotations/reflections in an argand diagram?

Published on 04 Apr 2018 - 21:15

52

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value of $X^2+Y^2$

Published on 05 Apr 2018 - 1:48

305

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Find the perimeter of the locus of the point satisfying this condition

Published on 25 Mar 2026 - 4:59

1.2k

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$i=-i$ false proof

Published on 25 Mar 2026 - 7:38

61

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Complex numbers series

Published on 26 Mar 2026 - 13:38

76

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Finding a general formula for $\sqrt[n]{a+bi}$.

Published on 05 Apr 2018 - 17:24

23

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Complex numbers singularites

Published on 05 Apr 2018 - 19:06

34

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Find the complex Laurent series of f(z) and show it converges to f(z)

Published on 25 Mar 2026 - 20:12

155

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Product identity: $x^{n+1}-1=\prod_{k=0}^{n}{(x-e^\frac{2ik\pi}{n+1}})$

Published on 22 Mar 2026 - 21:37

125

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Imaginary number observation

Published on 06 Apr 2018 - 16:23

109

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What is the error on this prove that says $-1=1$

Published on 25 Mar 2026 - 4:40

List Question

Complex number and Inner product

Largest disc centered at $z_0$ in which $f$ is holomorphic

Prove that if $f$ is an holomorphic function with certain conditions then $f=0$

If $\Omega$ is a symmetric domain of $\mathbb{C}$ and $f$ an isomorphism with certain conditions then $f(\overline{z})=\overline{f(z)}$

Which totally complex number field's embeddings correspond to geometric rotations/reflections in an argand diagram?

value of $X^2+Y^2$

Find the perimeter of the locus of the point satisfying this condition

$i=-i$ false proof

Complex numbers series

Finding a general formula for $\sqrt[n]{a+bi}$.

Complex numbers singularites

Find the complex Laurent series of f(z) and show it converges to f(z)

Product identity: $x^{n+1}-1=\prod_{k=0}^{n}{(x-e^\frac{2ik\pi}{n+1}})$

Imaginary number observation

What is the error on this prove that says $-1=1$

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