Question

complex integral - residuum theorem or something else?

score 165 · Answer 1 · 2020-02-16 15:15:03

165

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complex integral - residuum theorem or something else?

Published on 16 Feb 2020 - 15:15

score 101 · Answer 2 · 2020-02-16 23:55:16

101

Views

Show that $\int_{0}^{1}\sqrt[\leftroot{-3}\uproot{3}3]{x^2(1 - x)} dx = 2\pi\frac{\sqrt{3}}{27}$

Published on 16 Feb 2020 - 23:55

score 385 · Answer 3 · 2020-02-17 17:10:33

385

Views

Book recommendation for Residue Theorem and Applications?

Published on 17 Feb 2020 - 17:10

score 116 · Answer 4 · 2026-03-26 22:14:08

116

Views

Difference between existence of logarithm of holomorphic functions and composition of logarithm with holomorphic function.

Published on 26 Mar 2026 - 22:14

score 124 · Answer 5 · 2026-02-23 11:21:06

124

Views

Integration $\int_{0}^{\infty}\frac{b^2 \sin(ax)}{x^2+b^2}\,dx$

Published on 23 Feb 2026 - 11:21

score 191 · Answer 6 · 2020-02-21 00:46:30

191

Views

Cauchy's integral formula, application

Published on 21 Feb 2020 - 0:46

score 96 · Answer 7 · 2026-03-26 18:49:11

96

Views

Complex integration over curves

Published on 26 Mar 2026 - 18:49

score 66 · Answer 8 · 2020-02-26 04:58:16

66

Views

$\int_{\Gamma} \frac{1}{(z-a)^m (z-b)^n} dz $

Published on 26 Feb 2020 - 4:58

score 127 · Answer 9 · 2020-02-27 06:03:30

127

Views

Contour Integral of $\frac{z^{}}{z-1}$, where $z^{}$ is the complex conjugate of $z$.

Published on 27 Feb 2020 - 6:03

score 36 · Answer 10 · 2020-02-27 06:53:12

36

Views

How to evaluate the complex integral involving exponential functions?

Published on 27 Feb 2020 - 6:53

score 96 · Answer 11 · 2020-02-27 14:41:39

96

Views

Complex integration exercise with $\arctan $

Published on 27 Feb 2020 - 14:41

score 211 · Answer 12 · 2020-02-27 22:18:55

211

Views

The supremum of the $n$th derivative of a holomorphic function is bounded by the $L^1$ norm

Published on 27 Feb 2020 - 22:18

score 98 · Answer 13 · 2026-03-26 09:18:04

98

Views

Prove that $\sum_{n=0}^{\infty}a_{n}b_{n}z^{n}=\frac{1}{2\pi i}\int_{\gamma_{r}}\frac{f(w)}{w}g(\frac{z}{w})dw$.

Published on 26 Mar 2026 - 9:18

score 295 · Answer 14 · 2020-03-03 16:30:53

295

Views

Evaluating $\int_{0}^{2\pi} \frac{\mathrm{e}^{-i k a \cos\phi \sin\theta}}{1+\cos\phi \sin\theta}\,\mathrm d\phi$

Published on 03 Mar 2020 - 16:30

score 24 · Answer 15 · 2026-03-26 09:15:01

24

Views

complex integration on closed c

Published on 26 Mar 2026 - 9:15

List Question

complex integral - residuum theorem or something else?

Show that $\int_{0}^{1}\sqrt[\leftroot{-3}\uproot{3}3]{x^2(1 - x)} dx = 2\pi\frac{\sqrt{3}}{27}$

Book recommendation for Residue Theorem and Applications?

Difference between existence of logarithm of holomorphic functions and composition of logarithm with holomorphic function.

Integration $\int_{0}^{\infty}\frac{b^2 \sin(ax)}{x^2+b^2}\,dx$

Cauchy's integral formula, application

Complex integration over curves

$\int_{\Gamma} \frac{1}{(z-a)^m (z-b)^n} dz $

Contour Integral of $\frac{z^{}}{z-1}$, where $z^{}$ is the complex conjugate of $z$.

How to evaluate the complex integral involving exponential functions?

Complex integration exercise with $\arctan $

The supremum of the $n$th derivative of a holomorphic function is bounded by the $L^1$ norm

Prove that $\sum_{n=0}^{\infty}a_{n}b_{n}z^{n}=\frac{1}{2\pi i}\int_{\gamma_{r}}\frac{f(w)}{w}g(\frac{z}{w})dw$.

Evaluating $\int_{0}^{2\pi} \frac{\mathrm{e}^{-i k a \cos\phi \sin\theta}}{1+\cos\phi \sin\theta}\,\mathrm d\phi$

complex integration on closed c

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