List questions from cauchy-integral-formula

Published on 16 Apr 2026 - 21:08

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Integral with two different answers using real and complex analysis

Published on 09 Apr 2026 - 2:46

291

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

Published on 12 Apr 2026 - 9:26

1.2k

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Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Published on 10 May 2026 - 19:03

194

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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 07 May 2026 - 8:48

29

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

Published on 14 Apr 2026 - 0:45

108

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Contour integral vanishes

Published on 10 Apr 2026 - 16:51

205

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Integral involving a Gaussian and a rational function.

Published on 12 Apr 2026 - 5:24

680

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For what simple closed curves does the equation hold?

Published on 16 Apr 2026 - 16:30

90

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

Published on 16 Apr 2026 - 8:38

469

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

Published on 14 Apr 2026 - 23:20

167

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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 16 Apr 2026 - 9:05

85

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Complex Integration - Cauchy's Formula

Published on 08 Apr 2026 - 19:15

220

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

Published on 10 Apr 2026 - 14:41

53

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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 16 Apr 2026 - 22:46

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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