List questions from complex-analysis

Published on 14 Apr 2026 - 23:59

932

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Showing that a harmonic function maps open sets to open sets.

Published on 23 Apr 2026 - 12:56

48

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Analytical expression for Gaussian filtered box function

Published on 12 Apr 2026 - 3:14

162

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The proof of the formula $z = |z|e^{i \phi}$

Published on 13 Apr 2026 - 20:59

137

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Closed form of the power series of $\sum_{n=0}^{\infty} \sin(n)\,x^n$ (Mathematica)

Published on 15 Apr 2026 - 7:38

5.3k

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Integrate sin(nx)sin(mx) from 0 to 2$\pi$ using residuals

Published on 16 Apr 2026 - 15:06

166

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Complex logarithm and simply connected space

Published on 12 Apr 2026 - 1:13

143

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A conditionally convergent complex series can be rearranged to be divergent

Published on 13 Apr 2026 - 23:03

1.9k

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Show that $\lim_{z\to z_0}|f(z)|=\infty$ if and only if $z_0$ is a pole

Published on 24 Mar 2026 - 20:46

150

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Integral of $\tan(1/x)$

Published on 14 Apr 2026 - 10:49

663

Views

Proving $f(z)$ is continuous on whole complex plane

Published on 14 Apr 2026 - 4:47

374

Views

Residue theorem for rational complex functions

Published on 18 Apr 2026 - 19:12

51

Views

sequence of complex number

Published on 17 Apr 2026 - 15:11

96

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Express rational function $f: \mathbb{C} \to \mathbb{C}$ in the form $u(x,y) + iv(x,y)$.

Published on 16 Apr 2026 - 14:18

3.4k

Views

Any uncountable subset $S$ of $\mathbb{C}$ must have a limit point .

Published on 14 Apr 2026 - 6:27

List Question

Sheaf of invertible holomorphic functions on punctured plane

Showing that a harmonic function maps open sets to open sets.

Analytical expression for Gaussian filtered box function

The proof of the formula $z = |z|e^{i \phi}$

Closed form of the power series of $\sum_{n=0}^{\infty} \sin(n)\,x^n$ (Mathematica)

Integrate sin(nx)sin(mx) from 0 to 2$\pi$ using residuals

Complex logarithm and simply connected space

A conditionally convergent complex series can be rearranged to be divergent

Show that $\lim_{z\to z_0}|f(z)|=\infty$ if and only if $z_0$ is a pole

Integral of $\tan(1/x)$

Proving $f(z)$ is continuous on whole complex plane

Residue theorem for rational complex functions

sequence of complex number

Express rational function $f: \mathbb{C} \to \mathbb{C}$ in the form $u(x,y) + iv(x,y)$.

Any uncountable subset $S$ of $\mathbb{C}$ must have a limit point .

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