List questions from cauchy-principal-value

18

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Asymptotic behavior of a 2D integral: retarded/advanced green's function with saddle point dispersions

Published on 25 Feb 2024 - 2:29

67

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Motivation behind Cauchy principal value of an improper integral?

Published on 25 Feb 2024 - 15:03

86

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How to evaluate this by contour integral?

Published on 26 Feb 2024 - 14:07

47

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Contour integral of $\int_{γ} \frac{1}{|z-z_{0}|^\alpha} dz$ where $0<\alpha<1$

Published on 14 Mar 2024 - 21:41

16

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Can't find a residue, a limit relating to $\zeta()$ (feat. Cauchy's P.V)

Published on 09 Mar 2026 - 5:46

43

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Strong & weak solution of $xy' + y = 0$ [Friedlander ex. 2.3]

Published on 25 Mar 2024 - 20:28

143

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Integrals with residue theory [ANSWERED]

Published on 30 Mar 2024 - 14:08

605

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Cauchy Integral with two poles on the contour

Published on 27 Jan 2015 - 9:01

457

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Problem with Cauchy Principal Value Integral

Published on 02 Feb 2015 - 22:58

3.2k

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Residue theorem:When a singularity on the circle (not inside the circle)

Published on 20 Feb 2015 - 1:25

150

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Residue theorem definite trigonometric integration

Published on 20 Feb 2015 - 6:08

571

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Residue theorem: When a singularity gives infinite to the residue

Published on 21 Feb 2015 - 1:47

972

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Meaning of principal value integrals

Published on 22 Feb 2015 - 15:33

107

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Stuck on proving $\int_{-\infty}^\infty \cos(\frac{\pi}{a}x)\cos(\frac{3\pi}{a} x) \, \mathrm{d}x$ = 0

Published on 24 Feb 2015 - 2:37

508

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Cauchy Integral Formula Centered at 2i with Radius r

Published on 25 Feb 2015 - 5:25

List Question

Asymptotic behavior of a 2D integral: retarded/advanced green's function with saddle point dispersions

Motivation behind Cauchy principal value of an improper integral?

How to evaluate this by contour integral?

Contour integral of $\int_{γ} \frac{1}{|z-z_{0}|^\alpha} dz$ where $0<\alpha<1$

Can't find a residue, a limit relating to $\zeta()$ (feat. Cauchy's P.V)

Strong & weak solution of $xy' + y = 0$ [Friedlander ex. 2.3]

Integrals with residue theory [ANSWERED]

Cauchy Integral with two poles on the contour

Problem with Cauchy Principal Value Integral

Residue theorem:When a singularity on the circle (not inside the circle)

Residue theorem definite trigonometric integration

Residue theorem: When a singularity gives infinite to the residue

Meaning of principal value integrals

Stuck on proving $\int_{-\infty}^\infty \cos(\frac{\pi}{a}x)\cos(\frac{3\pi}{a} x) \, \mathrm{d}x$ = 0

Cauchy Integral Formula Centered at 2i with Radius r

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