List questions from complex-analysis

Published on 11 Apr 2026 - 12:50

176

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Proving that $x^7-120x^5+1875x^3+12500x+5$ has exactly 5 real roots

Published on 16 Apr 2026 - 23:24

312

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Choosing any branch cut, or some branch cut?

Published on 15 Apr 2026 - 20:04

87

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Prove the following set is compact in $\mathbb{C}$

Published on 14 Apr 2026 - 7:56

242

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Reference request: local normal form of a holomorphic map

Published on 28 Mar 2026 - 9:50

114

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Why would this theorem be false if subharmonic functions were continuous?

Published on 22 Apr 2026 - 16:08

211

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Nyquist diagram stability

Published on 11 Apr 2026 - 20:05

59

Views

Singularities. Residues

Published on 11 Apr 2026 - 0:32

401

Views

A confusing question about intergral $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$

Published on 14 Apr 2026 - 22:14

84

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Residue theorem- proposition for $Res(\frac{a(z)}{b(z)})$

Published on 15 Apr 2026 - 12:54

78

Views

Cardinality of T (holomorphic function)

Published on 13 Apr 2026 - 22:30

87

Views

About partial derivatives

Published on 29 Apr 2026 - 12:42

135

Views

Complex integral of the modulus of a polynomial

Published on 11 Apr 2026 - 20:50

87

Views

Extending the $\bar \partial$-Poincaré Lemma by using a partition of unity

Published on 23 Apr 2026 - 8:24

336

Views

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

Published on 14 Apr 2026 - 14:47

List Question

Residue of high order pole

Proving that $x^7-120x^5+1875x^3+12500x+5$ has exactly 5 real roots

Choosing any branch cut, or some branch cut?

Prove the following set is compact in $\mathbb{C}$

Reference request: local normal form of a holomorphic map

Why would this theorem be false if subharmonic functions were continuous?

Nyquist diagram stability

Singularities. Residues

A confusing question about intergral $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$

Residue theorem- proposition for $Res(\frac{a(z)}{b(z)})$

Cardinality of T (holomorphic function)

About partial derivatives

Complex integral of the modulus of a polynomial

Extending the $\bar \partial$-Poincaré Lemma by using a partition of unity

What are the zeros of $z^6-5z^4+z^3-2z \in \mathbb{C}$ within the unit circle?

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