List questions from contour-integration

Published on 10 May 2026 - 16:29

45

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Evaluating a path (contour) integral

Published on 14 May 2026 - 13:48

709

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Counting roots using contour integral and derivative

Published on 11 May 2026 - 0:11

504

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

Published on 11 May 2026 - 10:11

33

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Cauchy theorem for different disks

Published on 10 Apr 2026 - 20:40

102

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

Published on 14 Apr 2026 - 12:59

462

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Question about Hankel's contour applied for Gamma functions

Published on 10 May 2026 - 13:49

62

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Specific contour integral around essential singularity

Published on 11 May 2026 - 2:16

255

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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 10 May 2026 - 19:04

4.5k

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

Published on 11 May 2026 - 4:24

197

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

Published on 10 May 2026 - 23:31

241

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Complex analysis - branch cut of log

Published on 10 May 2026 - 14:52

588

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The complex conjugate squared has no antiderivative

Published on 09 Apr 2026 - 23:54

65

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

Published on 15 Apr 2026 - 12:11

69

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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 10 May 2026 - 14:07

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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