List questions from cauchy-integral-formula

Published on 12 Jun 2021 - 15:17

127

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Derivation of the retarded Green function: Problem with a Cauchy integral

Published on 29 Mar 2026 - 3:22

51

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Show $\frac{2}{\pi} \int_{0}^{2\pi} f(e^{i\theta})\cos^2(\frac{\theta}{2})d\theta = 2f(0)+f'(0)$ when $f\in A(|z|<1+\varepsilon)$.

Published on 19 Jun 2021 - 16:01

99

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I'm stuck in complex integration on Cauchy integral theorem example is in image and recommended books.

Published on 24 Jun 2021 - 9:58

62

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getting different answer when using Residue theorem

Published on 25 Mar 2026 - 15:10

53

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calculate closed line integral

Published on 29 Jun 2021 - 13:20

51

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Cauchy derivation theorem of integrals demonstration

Published on 30 Jun 2021 - 0:52

38

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Cauchy Integralformula comprehension question

Published on 22 Mar 2026 - 15:46

161

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Cauchy's Integral Theorem for open curves

Published on 09 Jul 2021 - 0:51

101

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$\oint \frac{dz}{z^4 - 1}$ along $|z|=2$ using Cauchy integral formula

Published on 12 Jul 2021 - 11:38

72

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Integral over unit sphere in "grey area"

Published on 13 Jul 2021 - 13:34

34

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Holomorphic function maps circle onto $\mathbb{R}$ - constant?

Published on 16 Jul 2021 - 12:45

330

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Understanding Path Independence in Complex Analysis, Cauchy Integral Theorem

Published on 22 Jul 2021 - 14:47

106

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Example on a contour integral over a circle

Published on 08 Aug 2021 - 17:39

737

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why is Cauchy's integral formula not 0

Published on 13 Aug 2021 - 23:02

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Cauchy's inequalities in horizontal strip

Derivation of the retarded Green function: Problem with a Cauchy integral

Show $\frac{2}{\pi} \int_{0}^{2\pi} f(e^{i\theta})\cos^2(\frac{\theta}{2})d\theta = 2f(0)+f'(0)$ when $f\in A(|z|<1+\varepsilon)$.

I'm stuck in complex integration on Cauchy integral theorem example is in image and recommended books.

getting different answer when using Residue theorem

calculate closed line integral

Cauchy derivation theorem of integrals demonstration

Cauchy Integralformula comprehension question

Cauchy's Integral Theorem for open curves

$\oint \frac{dz}{z^4 - 1}$ along $|z|=2$ using Cauchy integral formula

Integral over unit sphere in "grey area"

Holomorphic function maps circle onto $\mathbb{R}$ - constant?

Understanding Path Independence in Complex Analysis, Cauchy Integral Theorem

Example on a contour integral over a circle

why is Cauchy's integral formula not 0

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