Question

Confusion in working out $\mathcal{P} \int_{-\infty}^{\infty} \frac{dz}{z-i}$.

score 69 · Answer 1 · 2026-03-25 17:40:33

69

Views

Confusion in working out $\mathcal{P} \int_{-\infty}^{\infty} \frac{dz}{z-i}$.

Published on 25 Mar 2026 - 17:40

score 44 · Answer 2 · 2026-03-27 16:19:16

44

Views

Integration using Cauchy's theorem vs numerical method

Published on 27 Mar 2026 - 16:19

score 47 · Answer 3 · 2024-01-31 17:40:42

47

Views

Integral of $z$ over a triangle doesnt't match the result from Cauchy-Goursat theorem

Published on 31 Jan 2024 - 17:40

score 52 · Answer 4 · 2026-03-26 17:37:36

52

Views

How to solve integral with cubic polynomial at the denominator with Byrd-Friedman's handbook of elliptical integrals?

Published on 26 Mar 2026 - 17:37

score 35 · Answer 5 · 2026-03-25 20:07:30

35

Views

Approximate inverse Mellin transform

Published on 25 Mar 2026 - 20:07

score 50 · Answer 6 · 2026-03-27 16:27:34

50

Views

expansion of real asymmetric integral on complex plane

Published on 27 Mar 2026 - 16:27

score 53 · Answer 7 · 2026-03-31 09:37:41

53

Views

How to integrate this function of bessel integration form?

Published on 31 Mar 2026 - 9:37

score 114 · Answer 8 · 2024-02-08 02:10:39

114

Views

Evaluating $\int_{-\infty}^\infty \frac{pe^{ipr}}{\sqrt{p^2 + m^2}} dp$ using complex contours

Published on 08 Feb 2024 - 2:10

score 35 · Answer 9 · 2026-03-27 21:37:32

35

Views

Fourier transform $\left[\mathrm{csch}(x+i\epsilon-t)\right]^n\left[\mathrm{csch}(x+i\epsilon+t)\right]^m$

Published on 27 Mar 2026 - 21:37

score 100 · Answer 10 · 2026-03-27 16:27:29

100

Views

Proof of Cauchy's theorem for punctured domains.

Published on 27 Mar 2026 - 16:27

score 88 · Answer 11 · 2024-02-14 14:20:59

88

Views

How to calculate $\int_{C_a} \frac{e^z}{(z-a)(z-b)}dz$?

Published on 14 Feb 2024 - 14:20

score 221 · Answer 12 · 2026-03-27 16:27:52

221

Views

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

Published on 27 Mar 2026 - 16:27

score 92 · Answer 13 · 2024-02-16 20:59:54

92

Views

Confusions about the definition of "residue" in Ahlfors' Complex Analysis

Published on 16 Feb 2024 - 20:59

score 33 · Answer 14 · 2024-02-17 22:52:01

33

Views

Complex integral from quantum mechanics

Published on 17 Feb 2024 - 22:52

score 37 · Answer 15 · 2024-02-18 14:34:26

37

Views

Prove the following complex integral satisfies $\mid \int_\ell \frac{z^3}{z^2+1}dz \mid \leq \frac{9\pi}{8}$

Published on 18 Feb 2024 - 14:34

List Question

Confusion in working out $\mathcal{P} \int_{-\infty}^{\infty} \frac{dz}{z-i}$.

Integration using Cauchy's theorem vs numerical method

Integral of $z$ over a triangle doesnt't match the result from Cauchy-Goursat theorem

How to solve integral with cubic polynomial at the denominator with Byrd-Friedman's handbook of elliptical integrals?

Approximate inverse Mellin transform

expansion of real asymmetric integral on complex plane

How to integrate this function of bessel integration form?

Evaluating $\int_{-\infty}^\infty \frac{pe^{ipr}}{\sqrt{p^2 + m^2}} dp$ using complex contours

Fourier transform $\left[\mathrm{csch}(x+i\epsilon-t)\right]^n\left[\mathrm{csch}(x+i\epsilon+t)\right]^m$

Proof of Cauchy's theorem for punctured domains.

How to calculate $\int_{C_a} \frac{e^z}{(z-a)(z-b)}dz$?

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

Confusions about the definition of "residue" in Ahlfors' Complex Analysis

Complex integral from quantum mechanics

Prove the following complex integral satisfies $\mid \int_\ell \frac{z^3}{z^2+1}dz \mid \leq \frac{9\pi}{8}$

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