List questions from cauchy-integral-formula

Published on 28 Dec 2018 - 11:22

685

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Integral with two different answers using real and complex analysis

Published on 02 Jan 2019 - 0:17

288

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Solving a complex integral $\oint_L\frac{e^{1/(z-a)}}zdz$ using Cauchy's formula

Published on 02 Jan 2019 - 15:56

1.2k

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Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Published on 25 Mar 2026 - 7:45

188

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Is it possible to evaulate $I = \frac{2i}{\pi} \int_\gamma \ln(z) dz$ explicitly even though $\ln(z)$ isn't holomorphic at $z=0$?

Published on 19 Mar 2026 - 10:54

26

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Recommendations for a scoring formula for sorting a location based social network's post feed

Published on 24 Jan 2019 - 20:56

105

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Contour integral vanishes

Published on 30 Jan 2019 - 16:04

202

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Integral involving a Gaussian and a rational function.

Published on 05 Feb 2019 - 17:21

676

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For what simple closed curves does the equation hold?

Published on 13 Feb 2019 - 16:33

87

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Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

Published on 17 Feb 2019 - 17:08

467

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Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Published on 17 Feb 2019 - 19:05

164

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Integral $\int_{-\infty}^{\infty}\frac{1}{e^{\frac{x-\mu}{T}}+1}\frac{\gamma}{(x-x_{0})^{2}+\frac{\gamma^{2}}{4}}dx$

Published on 25 Feb 2019 - 11:39

83

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Complex Integration - Cauchy's Formula

Published on 09 Mar 2019 - 19:58

217

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How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

Published on 09 Mar 2019 - 20:52

50

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Evaluate the complex integral $\oint\frac{4i(z^2+4)}{z(z^2-16)}\sin\Big(\frac{5\pi}{z^2+4}\Big)dz$

Published on 17 Mar 2019 - 20:06

List Question

Real integrals with two poles in the complex plane

Integral with two different answers using real and complex analysis

Solving a complex integral $\oint_L\frac{e^{1/(z-a)}}zdz$ using Cauchy's formula

Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Is it possible to evaulate $I = \frac{2i}{\pi} \int_\gamma \ln(z) dz$ explicitly even though $\ln(z)$ isn't holomorphic at $z=0$?

Recommendations for a scoring formula for sorting a location based social network's post feed

Contour integral vanishes

Integral involving a Gaussian and a rational function.

For what simple closed curves does the equation hold?

Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Integral $\int_{-\infty}^{\infty}\frac{1}{e^{\frac{x-\mu}{T}}+1}\frac{\gamma}{(x-x_{0})^{2}+\frac{\gamma^{2}}{4}}dx$

Complex Integration - Cauchy's Formula

How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

Evaluate the complex integral $\oint\frac{4i(z^2+4)}{z(z^2-16)}\sin\Big(\frac{5\pi}{z^2+4}\Big)dz$

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