Question

Find $\int _C e^z dz$, where $C$ is any path from 0 to 1 in $\Bbb C$.

score 222 · Answer 1 · 2019-09-29 05:19:35

222

Views

Find $\int _C e^z dz$, where $C$ is any path from 0 to 1 in $\Bbb C$.

Published on 29 Sep 2019 - 5:19

score 41 · Answer 2 · 2026-03-25 23:38:39

41

Views

$f''(x)\ge m>0$, show that $ |\int_0^{+\infty}\exp(if(t))\mathrm{d}t | \le 8/\sqrt{m}$

Published on 25 Mar 2026 - 23:38

score 39 · Answer 3 · 2019-09-29 17:23:22

39

Views

Complex inequality $\int_0^1\frac{1}{|1-e^{2\pi iz}|}dx\leq c\log \frac{1}{y}$

Published on 29 Sep 2019 - 17:23

score 298 · Answer 4 · 2019-09-29 20:57:58

298

Views

Find primitives ( = anti-derivatives) of the functions $sin(z)$ and $cos(z)$.

Published on 29 Sep 2019 - 20:57

score 138 · Answer 5 · 2019-09-30 21:58:20

138

Views

Help with contour integral (gaussian times a fractional root)

Published on 30 Sep 2019 - 21:58

score 62 · Answer 6 · 2019-09-30 23:12:09

62

Views

Complex analysis fundamental theorem of calculus on integration

Published on 30 Sep 2019 - 23:12

score 60 · Answer 7 · 2019-09-30 23:58:28

60

Views

integral involving exponential with complex z

Published on 30 Sep 2019 - 23:58

score 126 · Answer 8 · 2019-10-01 05:04:17

126

Views

Complex integration $e^{1/z}$ over unit circle

Published on 01 Oct 2019 - 5:04

score 79 · Answer 9 · 2019-10-01 13:06:31

79

Views

Complex Cauchy's integral theorem

Published on 01 Oct 2019 - 13:06

score 1.6k · Answer 10 · 2014-03-16 17:19:38

1.6k

Views

Contour Integrantion of a exponential function

Published on 16 Mar 2014 - 17:19

score 2k · Answer 11 · 2014-03-17 13:05:35

2k

Views

Cauchy's argument principle, trouble working simple contour integral

Published on 17 Mar 2014 - 13:05

score 170 · Answer 12 · 2014-03-21 19:23:30

170

Views

Imaginary part of Log laplacian

Published on 21 Mar 2014 - 19:23

score 243 · Answer 13 · 2014-03-21 21:56:16

243

Views

Find $\int_\gamma \frac{dz}{z^2}$ wihtout explicit calculations

Published on 21 Mar 2014 - 21:56

score 1.6k · Answer 14 · 2014-04-05 08:20:12

1.6k

Views

Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.

Published on 05 Apr 2014 - 8:20

score 174 · Answer 15 · 2014-04-15 17:01:37

174

Views

How to handle the complex integration of this function around a branch point

Published on 15 Apr 2014 - 17:01

List Question

Find $\int _C e^z dz$, where $C$ is any path from 0 to 1 in $\Bbb C$.

$f''(x)\ge m>0$, show that $ |\int_0^{+\infty}\exp(if(t))\mathrm{d}t | \le 8/\sqrt{m}$

Complex inequality $\int_0^1\frac{1}{|1-e^{2\pi iz}|}dx\leq c\log \frac{1}{y}$

Find primitives ( = anti-derivatives) of the functions $sin(z)$ and $cos(z)$.

Help with contour integral (gaussian times a fractional root)

Complex analysis fundamental theorem of calculus on integration

integral involving exponential with complex z

Complex integration $e^{1/z}$ over unit circle

Complex Cauchy's integral theorem

Contour Integrantion of a exponential function

Cauchy's argument principle, trouble working simple contour integral

Imaginary part of Log laplacian

Find $\int_\gamma \frac{dz}{z^2}$ wihtout explicit calculations

Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.

How to handle the complex integration of this function around a branch point

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