Question

Compute $\oint \Bigl[ z e^{3/z} + \frac{\cos z}{z^2 (z - \pi )^3} \Bigr] \, dz$

score 755 · Answer 1 · 2015-01-02 02:41:48

755

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Compute $\oint \Bigl[ z e^{3/z} + \frac{\cos z}{z^2 (z - \pi )^3} \Bigr] \, dz$

Published on 02 Jan 2015 - 2:41

score 138 · Answer 2 · 2019-10-04 19:26:37

138

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Why the integral $\int_{-\infty}^\infty dx \frac{1}{(x-i)^2} \frac{1}{(x+i)^2}$ is not zero?

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score 80 · Answer 3 · 2019-10-06 18:19:27

80

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141

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350

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score 126 · Answer 6 · 2026-03-25 10:57:13

126

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score 70 · Answer 7 · 2026-03-25 23:42:49

70

Views

Determine the residuals of $f(z)=\frac{\log(1+z)}{\cos z-1}$

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score 92 · Answer 8 · 2019-10-23 14:39:27

92

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score 45 · Answer 9 · 2019-10-24 04:37:15

45

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score 318 · Answer 10 · 2026-03-27 11:46:09

318

Views

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score 333 · Answer 11 · 2026-03-26 04:30:48

333

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score 912 · Answer 12 · 2019-10-26 18:17:56

912

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evaluating the integral of sinc function from zero to infinity by shifting the poles instead of deforming the contour.

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score 118 · Answer 13 · 2019-10-27 22:21:20

118

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score 205 · Answer 14 · 2026-03-27 11:24:42

205

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score 56 · Answer 15 · 2019-11-08 00:16:08

56

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List Question

Compute $\oint \Bigl[ z e^{3/z} + \frac{\cos z}{z^2 (z - \pi )^3} \Bigr] \, dz$

Why the integral $\int_{-\infty}^\infty dx \frac{1}{(x-i)^2} \frac{1}{(x+i)^2}$ is not zero?

Improper integral from expectation

Complex Integral with Absolute Value

Integral of combined exponential, trigonometric, and polynomial functions

$\sum_{j=1}^n \psi(\lambda_j)=\dfrac{1}{2\pi} \int_{\mathbb{C}} \triangle \psi(z) \log|P(z) | \ dm(z)$

Determine the residuals of $f(z)=\frac{\log(1+z)}{\cos z-1}$

Evaluating this $\sum ^\infty_{n=0}\left(\frac{1}{2}\right)^n$ with contour integration

Complex analysis residue problem. $\oint_\gamma \frac{\sin^2(z)}{(z-1)^2} \,dz$

Residue theorem for contour lying in multiple Riemann sheets?

Contour integration with 2 poles in Scattering theorey

evaluating the integral of sinc function from zero to infinity by shifting the poles instead of deforming the contour.

Questions about $\int_{0}^{\infty} \frac{1}{x^\lambda (x + 4)} \, \mathrm{d}x$

Partial Circular Sum of a Rational Function

Calculating contour integral two ways with different results

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