List questions from cauchy-integral-formula

Published on 09 Mar 2024 - 6:46

46

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Would the following not be a correct proof of Cauchy's Integral Theorem?

Published on 15 Mar 2024 - 15:17

37

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Combining Cauchy Integral Formula and Taylor Series

Published on 19 Mar 2024 - 0:28

33

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Residue calculation for $z^{-2}\sin(z^{-2})$

Published on 20 Mar 2024 - 23:13

64

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integration of$ f(z)=\frac{1}{z^4+1}$ using Cauchy's Integral Formula vs. Partial Fractions

Published on 21 Mar 2024 - 22:07

43

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Cauchy's Theorem Application Example

Published on 27 Mar 2024 - 14:54

104

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Let $\xi \in \mathbb{R}$. Use Cauchy's Theorem to prove that $\int_{-\infty}^{\infty}e^{-\pi x^2}e^{-2\pi ix \xi} dx = e^{-\pi \xi^2}$.

Published on 27 Mar 2024 - 15:25

503

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Value of the path integral $\int_{\partial K(0,1)} \frac {dz} {(z-a)(z-b)}$ along the unit circle $\partial K(0,1)$, where $|a|,|b| < 1$.

Published on 29 Apr 2015 - 9:18

61

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Power Series in Poly Discs (Assuming Cauchy Integral Formula)

Published on 27 Mar 2026 - 7:13

249

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Integration using Residue Theorem on Hankel functions

Published on 10 Sep 2015 - 7:39

202

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Cauchy's theorem and a contour integral

Published on 17 Sep 2015 - 12:37

6.5k

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How to solve $\int_C Im(z) dz$ where $C$ is the unit circle

Published on 21 Sep 2015 - 12:06

142

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Generalised Cauchy Integral Formula( Small misses in the proof)

Published on 29 Sep 2015 - 15:46

1.3k

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How do I solve the following integral using Cauchy Integral Theorem?

Published on 04 Oct 2015 - 4:59

1.1k

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Cauchy Formula for $\oint \frac {\cos z}{z^3} dz$

Published on 07 Oct 2015 - 18:29

List Question

Cauchy's integral theorem for rectifiable simple closed curve.

Would the following not be a correct proof of Cauchy's Integral Theorem?

Combining Cauchy Integral Formula and Taylor Series

Residue calculation for $z^{-2}\sin(z^{-2})$

integration of$ f(z)=\frac{1}{z^4+1}$ using Cauchy's Integral Formula vs. Partial Fractions

Cauchy's Theorem Application Example

Let $\xi \in \mathbb{R}$. Use Cauchy's Theorem to prove that $\int_{-\infty}^{\infty}e^{-\pi x^2}e^{-2\pi ix \xi} dx = e^{-\pi \xi^2}$.

Value of the path integral $\int_{\partial K(0,1)} \frac {dz} {(z-a)(z-b)}$ along the unit circle $\partial K(0,1)$, where $|a|,|b| < 1$.

Power Series in Poly Discs (Assuming Cauchy Integral Formula)

Integration using Residue Theorem on Hankel functions

Cauchy's theorem and a contour integral

How to solve $\int_C Im(z) dz$ where $C$ is the unit circle

Generalised Cauchy Integral Formula( Small misses in the proof)

How do I solve the following integral using Cauchy Integral Theorem?

Cauchy Formula for $\oint \frac {\cos z}{z^3} dz$

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