List questions from contour-integration

Published on 27 Mar 2026 - 3:29

41

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Evaluating a path (contour) integral

Published on 16 May 2018 - 4:40

706

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Counting roots using contour integral and derivative

Published on 25 Mar 2026 - 1:21

501

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Prove that $\frac 1z$ is not a uniform limit of polynomial functions on an annulus

Published on 25 Mar 2026 - 21:50

30

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Cauchy theorem for different disks

Published on 20 May 2018 - 6:29

99

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Alternative method for contour integration (along a non-closed curve)

Published on 20 May 2018 - 18:53

459

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Question about Hankel's contour applied for Gamma functions

Published on 24 Mar 2026 - 22:12

59

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Specific contour integral around essential singularity

Published on 26 Mar 2026 - 16:02

252

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Is this integral $\int_0^\infty\frac{\cos(a x+ 2b \arctan x)}{x^2+1}dx$ exactly zero when $b\in\mathbb{N}$?

Published on 25 Mar 2026 - 12:03

4.5k

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Leading terms in asymptotic expansion of modified bessel function of the first kind

Published on 25 Mar 2026 - 16:02

194

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Evaluating $\oint_{|z|=2} \frac{\log{(z-\alpha)}}{z}-\frac{\log z}z \, \mathrm dz$

Published on 25 Mar 2026 - 23:22

237

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Complex analysis - branch cut of log

Published on 27 Mar 2026 - 3:29

586

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The complex conjugate squared has no antiderivative

Published on 25 Mar 2026 - 20:59

62

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Find $\int_{-\infty}^{\infty} e^{\frac{1}{2}(x+i \cdot s)^2}\mathrm{d}x$

Published on 30 May 2018 - 8:08

65

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Computing $\int_{\gamma} (z-a)^k dz$ without Cauchy's integral formula. $\gamma(t):=a+r\exp(it)$ with $r>0, a \in \mathbb{C}$

Published on 25 Mar 2026 - 3:02

List Question

Complex integration with paramaterisation

Evaluating a path (contour) integral

Counting roots using contour integral and derivative

Prove that $\frac 1z$ is not a uniform limit of polynomial functions on an annulus

Cauchy theorem for different disks

Alternative method for contour integration (along a non-closed curve)

Question about Hankel's contour applied for Gamma functions

Specific contour integral around essential singularity

Is this integral $\int_0^\infty\frac{\cos(a x+ 2b \arctan x)}{x^2+1}dx$ exactly zero when $b\in\mathbb{N}$?

Leading terms in asymptotic expansion of modified bessel function of the first kind

Evaluating $\oint_{|z|=2} \frac{\log{(z-\alpha)}}{z}-\frac{\log z}z \, \mathrm dz$

Complex analysis - branch cut of log

The complex conjugate squared has no antiderivative

Find $\int_{-\infty}^{\infty} e^{\frac{1}{2}(x+i \cdot s)^2}\mathrm{d}x$

Computing $\int_{\gamma} (z-a)^k dz$ without Cauchy's integral formula. $\gamma(t):=a+r\exp(it)$ with $r>0, a \in \mathbb{C}$

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