List questions from cauchy-principal-value

Published on 14 Mar 2026 - 9:01

135

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Second distributional derivative of $P.V. \frac{1}{x}$

Published on 25 May 2023 - 22:28

112

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How to calculate $\int_{-\infty}^{\infty}\frac{\cos^{3}x}{x^2+1}\mathrm{d}x$ with the help of complex function?

Published on 11 Jun 2023 - 15:24

163

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Principal value of 1/|x|

Published on 12 Jun 2023 - 17:30

42

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Finding Cauchy principal value of contour integral

Published on 18 Jun 2023 - 7:13

49

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Decomposing a denominator in terms of principal value

Published on 19 Aug 2023 - 0:17

127

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How to evaluate real and imaginary part of $\Gamma\left(\frac{2}{3},-\frac{1}{3}\right)$

Published on 27 Aug 2023 - 10:43

163

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Numerical Principal Value integration

Published on 29 Aug 2023 - 20:06

112

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Cauchy Residue Theorem with Logarithms

Published on 01 Sep 2023 - 4:06

76

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Finding the Cauchy Principal Value of $\int_{-\infty}^{\infty}\frac{1}{x-i}dx$

Published on 06 Nov 2023 - 8:51

90

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Can the inverse Fourier transform $f(x)=\mathcal{F}_{\omega}^{-1}[F(\omega)](x)$ converge when $F(\omega)=\mathcal{F}_x[f(x)](\omega)$ doesn't?

Published on 05 Jan 2024 - 1:39

67

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Using quantile function of eventually monotonic pdf to get something like an expectation

Published on 25 Mar 2026 - 6:19

58

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Hilbert transform of the integral of a function

Published on 24 Feb 2026 - 2:04

68

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Confusion in working out $\mathcal{P} \int_{-\infty}^{\infty} \frac{dz}{z-i}$.

Published on 25 Jan 2024 - 19:40

32

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What is the relationship between the two versions of the Sokotski-Plemelj theorem?

Published on 27 Jan 2024 - 19:49

List Question

Optimization of numerical evaluation of Cauchy principal value

Second distributional derivative of $P.V. \frac{1}{x}$

How to calculate $\int_{-\infty}^{\infty}\frac{\cos^{3}x}{x^2+1}\mathrm{d}x$ with the help of complex function?

Principal value of 1/|x|

Finding Cauchy principal value of contour integral

Decomposing a denominator in terms of principal value

How to evaluate real and imaginary part of $\Gamma\left(\frac{2}{3},-\frac{1}{3}\right)$

Numerical Principal Value integration

Cauchy Residue Theorem with Logarithms

Finding the Cauchy Principal Value of $\int_{-\infty}^{\infty}\frac{1}{x-i}dx$

Can the inverse Fourier transform $f(x)=\mathcal{F}_{\omega}^{-1}[F(\omega)](x)$ converge when $F(\omega)=\mathcal{F}_x[f(x)](\omega)$ doesn't?

Using quantile function of eventually monotonic pdf to get something like an expectation

Hilbert transform of the integral of a function

Confusion in working out $\mathcal{P} \int_{-\infty}^{\infty} \frac{dz}{z-i}$.

What is the relationship between the two versions of the Sokotski-Plemelj theorem?

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