List questions from cauchy-principal-value

Published on 12 Sep 2015 - 18:46

95

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Continuous extension of $\int_\mathbb{R} dt\, e^{-t^2}/(t-z)$ from $\operatorname{Im} z < 0$ onto $\mathbb R$

Published on 04 Oct 2015 - 22:10

70

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Derivative of absolute distribuion

Published on 18 Mar 2026 - 23:53

349

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principal value of improper integrals

Published on 28 Oct 2015 - 11:42

2.6k

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What happens to poles lying on branch cuts in contour integration?

Published on 24 Nov 2015 - 23:03

497

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Convolution of half-circle with inverse

Published on 26 Nov 2015 - 3:15

129

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About the integral $\oint \frac{z+\bar{z}}{\left | z \right |}dz$

Published on 01 Dec 2015 - 23:27

102

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Integral of the principal value of a hypergeometric function

Published on 07 Dec 2015 - 14:45

1.4k

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Finding Cauchy Principal Value for $\int_0^\infty \frac{\ln^2x }{(1-x)^2\sqrt{x}(x-4)} dx$

Published on 24 Dec 2015 - 17:36

4.3k

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What is the integral of 1/(z-i) over the unit circle?

Published on 06 Jan 2016 - 23:23

689

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What use does a Cauchy principal value and divergent summation have?

Published on 26 Feb 2026 - 2:11

512

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Cauchy Principal Value of $\int_0^\infty \frac{x}{(x^2 + a^2) \, \sin(\mu x)} dx$

Published on 09 Mar 2026 - 12:23

304

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In what sense does analyticity guarantee the following equality?

Published on 26 Feb 2016 - 22:32

455

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Principal value of $1/x$ does not arise from either a locally integrable function or a Radon measure

Published on 08 Mar 2016 - 4:33

1.1k

Views

Cauchy Principal value of integral with undefined point

Published on 11 Mar 2016 - 9:21

List Question

Cauchy principal value for solving the integral of complex exponential

Continuous extension of $\int_\mathbb{R} dt\, e^{-t^2}/(t-z)$ from $\operatorname{Im} z < 0$ onto $\mathbb R$

Derivative of absolute distribuion

principal value of improper integrals

What happens to poles lying on branch cuts in contour integration?

Convolution of half-circle with inverse

About the integral $\oint \frac{z+\bar{z}}{\left | z \right |}dz$

Integral of the principal value of a hypergeometric function

Finding Cauchy Principal Value for $\int_0^\infty \frac{\ln^2x }{(1-x)^2\sqrt{x}(x-4)} dx$

What is the integral of 1/(z-i) over the unit circle?

What use does a Cauchy principal value and divergent summation have?

Cauchy Principal Value of $\int_0^\infty \frac{x}{(x^2 + a^2) \, \sin(\mu x)} dx$

In what sense does analyticity guarantee the following equality?

Principal value of $1/x$ does not arise from either a locally integrable function or a Radon measure

Cauchy Principal value of integral with undefined point

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