List questions from complex-analysis

Published on 15 Apr 2026 - 11:54

96

Views

What is the closed form of this :$\int_{0}^{\infty}\frac{\log(x)\log^2(1+x)}{x^s}\,dx$ with $s$ is a complex variable?

Published on 15 Apr 2026 - 10:42

241

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Divergence of Dirichlet series and what happens to the series to the left of $ \sigma_c $

Published on 14 Apr 2026 - 10:30

60

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Is there a Weierstrass product for the Harmonic number?

Published on 11 Apr 2026 - 23:19

292

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if $|az^2+bz+c|\le 1$, find the maximum of $|a|+|b|$

Published on 15 Apr 2026 - 4:16

86

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Finding the Laurent series of the following function

Published on 13 Apr 2026 - 19:20

112

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contour integration encircle two branch point

Published on 14 Apr 2026 - 0:49

197

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About Hole of compact set in $\mathbb{C}$

Published on 11 Apr 2026 - 17:02

602

Views

Holomorphicity of the square of a function

Published on 13 Apr 2026 - 22:45

75

Views

Common fixed points of two polynomials over $\mathbb{C}$

Published on 29 Apr 2026 - 12:53

40

Views

Path integral on $\mathbb C\setminus(-\infty,-1]$

Published on 09 Apr 2026 - 6:39

687

Views

Finding zeroes and poles of the Weierstrass $\wp$ and $\wp^{'}$ function associated with a lattice.

Published on 12 Apr 2026 - 20:15

84

Views

The size of the neighbourhood of a point

Published on 15 Apr 2026 - 10:24

54

Views

Modulus of Dirichlet Eta inequality

Published on 24 Apr 2026 - 1:07

129

Views

Understanding Parameterization for Contour Integrals

Published on 11 Apr 2026 - 13:50

List Question

Value of $\sum^{\infty}_{n=1}\frac{1}{n} e^{\frac{2\pi i n}{3}}$

What is the closed form of this :$\int_{0}^{\infty}\frac{\log(x)\log^2(1+x)}{x^s}\,dx$ with $s$ is a complex variable?

Divergence of Dirichlet series and what happens to the series to the left of $ \sigma_c $

Is there a Weierstrass product for the Harmonic number?

if $|az^2+bz+c|\le 1$, find the maximum of $|a|+|b|$

Finding the Laurent series of the following function

contour integration encircle two branch point

About Hole of compact set in $\mathbb{C}$

Holomorphicity of the square of a function

Common fixed points of two polynomials over $\mathbb{C}$

Path integral on $\mathbb C\setminus(-\infty,-1]$

Finding zeroes and poles of the Weierstrass $\wp$ and $\wp^{'}$ function associated with a lattice.

The size of the neighbourhood of a point

Modulus of Dirichlet Eta inequality

Understanding Parameterization for Contour Integrals

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