Question

Computing an integral using residues

score 191 · Answer 1 · 2026-04-09 04:27:45

191

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Computing an integral using residues

Published on 09 Apr 2026 - 4:27

score 1.8k · Answer 2 · 2026-04-08 17:07:39

1.8k

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An intuitive definition of contour integration.

Published on 08 Apr 2026 - 17:07

score 2k · Answer 3 · 2026-03-25 23:36:50

2k

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Evaluation of real trigonometric integrals using the Cauchy Residue Theorem

Published on 25 Mar 2026 - 23:36

score 67 · Answer 4 · 2026-04-06 21:05:23

67

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$\frac{1}{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty}\frac{1}{s^2}e^{s(t - \frac{1}{2}x^2)}ds$ - different answers depending on value of $t$?

Published on 06 Apr 2026 - 21:05

score 470 · Answer 5 · 2026-04-02 21:52:16

470

Views

$\int\limits_{\gamma} \frac{z}{(z-1)(z-2)}dz$, $\gamma(\theta) = re^{i\theta}$, $2 < r < \infty$

Published on 02 Apr 2026 - 21:52

score 336 · Answer 6 · 2015-04-22 07:21:22

336

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Computing $\int_{\gamma}e^zdz$, where $\gamma$ is a particular semicircle

Published on 22 Apr 2015 - 7:21

score 79 · Answer 7 · 2026-04-02 21:47:36

79

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How can I solve this integral with complex number?

Published on 02 Apr 2026 - 21:47

score 91 · Answer 8 · 2015-04-22 10:22:00

91

Views

Show that there exists an entire function $h$ such that $\lim_{n\to\infty}{h(nz)}=0$ for all $z\ne0$

Published on 22 Apr 2015 - 10:22

score 420 · Answer 9 · 2026-04-08 19:29:26

420

Views

Evaluating an integral using Gamma function

Published on 08 Apr 2026 - 19:29

score 553 · Answer 10 · 2015-04-23 00:27:26

553

Views

Compute the following integral, where $C$ is the circle $|z|=3$

Published on 23 Apr 2015 - 0:27

score 79 · Answer 11 · 2015-04-25 20:37:16

79

Views

Applying contour integration to $\int_{0}^{\pi}dx\frac{cos(x)}{\sqrt{x^2 + x_0^2}}$

Published on 25 Apr 2015 - 20:37

score 57 · Answer 12 · 2015-04-25 23:41:22

57

Views

Evaluating this contour integral

Published on 25 Apr 2015 - 23:41

score 881 · Answer 13 · 2026-04-01 00:22:14

881

Views

Integral representation of Bessel function K

Published on 01 Apr 2026 - 0:22

score 1.8k · Answer 14 · 2015-04-29 02:07:40

1.8k

Views

Evaluating contour integral without using Residue Theorem

Published on 29 Apr 2015 - 2:07

score 504 · Answer 15 · 2026-03-27 17:53:06

504

Views

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 27 Mar 2026 - 17:53

List Question

Computing an integral using residues

An intuitive definition of contour integration.

Evaluation of real trigonometric integrals using the Cauchy Residue Theorem

$\frac{1}{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty}\frac{1}{s^2}e^{s(t - \frac{1}{2}x^2)}ds$ - different answers depending on value of $t$?

$\int\limits_{\gamma} \frac{z}{(z-1)(z-2)}dz$, $\gamma(\theta) = re^{i\theta}$, $2 < r < \infty$

Computing $\int_{\gamma}e^zdz$, where $\gamma$ is a particular semicircle

How can I solve this integral with complex number?

Show that there exists an entire function $h$ such that $\lim_{n\to\infty}{h(nz)}=0$ for all $z\ne0$

Evaluating an integral using Gamma function

Compute the following integral, where $C$ is the circle $|z|=3$

Applying contour integration to $\int_{0}^{\pi}dx\frac{cos(x)}{\sqrt{x^2 + x_0^2}}$

Evaluating this contour integral

Integral representation of Bessel function K

Evaluating contour integral without using Residue Theorem

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 $|a|,|b| < 1$.

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