List questions from contour-integration

Published on 13 Apr 2026 - 8:01

138

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Prove that $\oint \log|z_0 - z| dz = -\frac{1}{2} \oint \frac{z_0 - z}{\bar{z_0} - \bar{z}} d\bar{z}$

Published on 26 Mar 2026 - 17:53

65

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Residue Calculus wrong computation

Published on 13 Apr 2026 - 0:48

319

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Contour Integral of $1/(x^2+1)^{3/2}$

Published on 25 Mar 2026 - 12:51

177

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Contour integration with variable epsilon

Published on 13 Apr 2026 - 12:28

227

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Improper integral involving the Gaussian function

Published on 10 Apr 2026 - 10:22

460

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Direct contour integration of the Riemann Zeta fuction at even natural numbers

Published on 26 Mar 2026 - 0:54

2.7k

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Integral of $\text{Log}(z)$

Published on 14 Apr 2026 - 19:29

138

Views

Contour Deformation in a Conformal Field Theory

Published on 25 Mar 2026 - 7:42

115

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Calculate $\int_C (\cos(z)+i) \, dz$ along the path $z(\theta) = \tfrac{\pi}{4} e^{i \theta}$, $\theta \in [0,\pi]$

Published on 14 Apr 2026 - 5:25

227

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Coefficients in Laurent Expansion - Complex Analysis

Published on 10 Apr 2026 - 9:48

114

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Finding the maxima of $f(z)=\frac{1}{z^3+z^2+z+1}$ and the integral $\int_Cf(z)\mathrm dz$

Published on 15 Apr 2026 - 3:17

1k

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Contour integral around circle - Complex Analysis

Published on 09 Apr 2026 - 3:01

226

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Evaluate $\int \frac{1}{z^2+1}$

Published on 17 Apr 2026 - 3:47

780

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Trigonometric Integral - Complex Integration

Published on 10 Apr 2026 - 3:05

List Question

Problem with elementary complex integration of $1/(z-1)$

Prove that $\oint \log|z_0 - z| dz = -\frac{1}{2} \oint \frac{z_0 - z}{\bar{z_0} - \bar{z}} d\bar{z}$

Residue Calculus wrong computation

Contour Integral of $1/(x^2+1)^{3/2}$

Contour integration with variable epsilon

Improper integral involving the Gaussian function

Direct contour integration of the Riemann Zeta fuction at even natural numbers

Integral of $\text{Log}(z)$

Contour Deformation in a Conformal Field Theory

Calculate $\int_C (\cos(z)+i) \, dz$ along the path $z(\theta) = \tfrac{\pi}{4} e^{i \theta}$, $\theta \in [0,\pi]$

Coefficients in Laurent Expansion - Complex Analysis

Finding the maxima of $f(z)=\frac{1}{z^3+z^2+z+1}$ and the integral $\int_Cf(z)\mathrm dz$

Contour integral around circle - Complex Analysis

Evaluate $\int \frac{1}{z^2+1}$

Trigonometric Integral - Complex Integration

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