List questions from contour-integration

1.4k

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Show that the Hankel type contour integral $\int_{-\infty}^{0^+}\frac{\mathrm{Log}(t)}{e^{-t}-1}dt=0$

Published on 16 Apr 2016 - 1:07

255

Views

Developing a Process for Contour Integration

Published on 10 Apr 2026 - 3:08

253

Views

Bounding the integral of the reciprocal of a complex polynomial

Published on 18 Apr 2016 - 2:22

38

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Contour integral qualitative behavior

Published on 08 Apr 2026 - 17:21

107

Views

What do $\int_{-1}^1\frac{dx}{2x+1-2i}$ and $\frac12\log(2x+1-2i)$ mean?

Published on 04 Apr 2026 - 12:38

350

Views

Improper integral with complex limits

Published on 04 Apr 2026 - 12:30

545

Views

Contour Integral over a Closed Circle (Complex Analysis)

Published on 09 Apr 2026 - 12:11

74

Views

Basic contour integration

Published on 12 Apr 2026 - 8:46

927

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Contour Integration of $\sin^2(x)/(1+x^2)$

Published on 22 Apr 2016 - 11:02

313

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Modulus of roots of polynomial tend to infinity

Published on 22 Apr 2016 - 21:25

17

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$x^2+y^2\le 1$; $z=\sqrt{x^2+y^2}$; and $x^2+y^2=4-z$

Published on 12 Mar 2026 - 23:47

50

Views

Evaluation of complex integral?

Published on 11 Apr 2026 - 5:16

419

Views

Big-O Notation?

Published on 10 Apr 2026 - 12:57

868

Views

Cauchy integral formula with singularities

Published on 10 Apr 2026 - 18:36

161

Views

$\frac{\omega}{2\pi}\int_0^{\frac{2\pi}{\omega}}\frac{\sin^2\theta \cos^2\omega t}{(1+\beta\cos\theta \sin\omega t)^5} dt$

Published on 24 Apr 2016 - 21:02

List Question

Show that the Hankel type contour integral $\int_{-\infty}^{0^+}\frac{\mathrm{Log}(t)}{e^{-t}-1}dt=0$

Developing a Process for Contour Integration

Bounding the integral of the reciprocal of a complex polynomial

Contour integral qualitative behavior

What do $\int_{-1}^1\frac{dx}{2x+1-2i}$ and $\frac12\log(2x+1-2i)$ mean?

Improper integral with complex limits

Contour Integral over a Closed Circle (Complex Analysis)

Basic contour integration

Contour Integration of $\sin^2(x)/(1+x^2)$

Modulus of roots of polynomial tend to infinity

$x^2+y^2\le 1$; $z=\sqrt{x^2+y^2}$; and $x^2+y^2=4-z$

Evaluation of complex integral?

Big-O Notation?

Cauchy integral formula with singularities

$\frac{\omega}{2\pi}\int_0^{\frac{2\pi}{\omega}}\frac{\sin^2\theta \cos^2\omega t}{(1+\beta\cos\theta \sin\omega t)^5} dt$

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