List questions from contour-integration

Published on 16 Apr 2026 - 7:47

303

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An integral representation of the Mittag-Leffler function

Published on 24 Apr 2026 - 2:22

61

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Contour integral $\oint \frac{\mathrm{d}z}{2 \pi i z} \log(w+z)$

Published on 15 Apr 2026 - 17:26

41

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I'm using the formula below and want to find the length of γ

Published on 15 Apr 2026 - 16:12

72

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Evaluating $\int_{-\infty}^{+\infty} dx \, e^{i x t a} f(x) f(x-t b)$, where $f(x) = \frac{1}{\sqrt{1+x^2}}$, with $t$, $a$, $b$ real

Published on 16 Apr 2026 - 7:16

121

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Using Stokes theorem on a discontinuous function

Published on 14 Apr 2026 - 12:15

304

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Matsubara sum arising from QFT and contour integral

Published on 12 Apr 2026 - 15:29

143

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Integrating $\log(-ix)\exp(-ix)/x^2$

Published on 16 Apr 2026 - 9:07

91

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Writing the Real Part of Complex Integrand

Published on 10 Apr 2026 - 17:45

358

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Are contours allowed to contain branch points / branch cuts on the contour (not inside)

Published on 25 Mar 2026 - 19:05

83

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Writing the representation of Inverse Laplace Transform with Trapezoidal's Rule.

Published on 12 Apr 2026 - 3:53

407

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Find all the possible values of $\int_{\gamma} \frac{1}{z^2+1}dz$

Published on 16 Apr 2026 - 7:01

48

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Compute $\int_{\gamma} f$

Published on 15 Apr 2026 - 17:22

108

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Evaluate$ \oint _{|z|=1} \frac{\log\ |1-z|}{z}dz $

Published on 16 Apr 2026 - 11:39

86

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A partial converse of Cauchy's theorem

Published on 13 Apr 2026 - 6:08

List Question

Compute $\int_0^{2\pi} \frac{\cos \theta}{5+4\cos\theta}\,d\theta$ using contour integration

An integral representation of the Mittag-Leffler function

Contour integral $\oint \frac{\mathrm{d}z}{2 \pi i z} \log(w+z)$

I'm using the formula below and want to find the length of γ

Evaluating $\int_{-\infty}^{+\infty} dx \, e^{i x t a} f(x) f(x-t b)$, where $f(x) = \frac{1}{\sqrt{1+x^2}}$, with $t$, $a$, $b$ real

Using Stokes theorem on a discontinuous function

Matsubara sum arising from QFT and contour integral

Integrating $\log(-ix)\exp(-ix)/x^2$

Writing the Real Part of Complex Integrand

Are contours allowed to contain branch points / branch cuts on the contour (not inside)

Writing the representation of Inverse Laplace Transform with Trapezoidal's Rule.

Find all the possible values of $\int_{\gamma} \frac{1}{z^2+1}dz$

Compute $\int_{\gamma} f$

Evaluate$ \oint _{|z|=1} \frac{\log\ |1-z|}{z}dz $

A partial converse of Cauchy's theorem

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