List questions from complex-integration

Published on 26 Mar 2026 - 13:49

82

Views

Complex integral on a circumference

Published on 12 Apr 2020 - 18:22

87

Views

Extremely trivial integral $\frac{1}{\tau}\int_0^\tau \mathrm{e}^{\mathrm{i} (n - m) t} \mathrm{d}t = \delta_{nm}$

Published on 13 Apr 2020 - 8:14

82

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Little curiosity $\Re\Big(\int_{0}^{1}\frac{x\ln(x)}{1+e^{ix}}dx\Big)=-\frac{1}{8}$

Published on 13 Apr 2020 - 13:18

723

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ML inequality for $ \int \frac{1}{z^2-1} \, dz $

Published on 23 Feb 2026 - 2:48

46

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Finding the Maclaurin series of a complex integral

Published on 14 Apr 2020 - 2:17

89

Views

How can I integrate $\exp(−\sin(θ))\cos(θ+\cos(θ))$?

Published on 14 Apr 2020 - 10:17

111

Views

Integral of Logarithm with complex terms

Published on 14 Apr 2020 - 13:55

90

Views

Nice integral $\Im\Big(\int_{0}^{1}\ln\Big(\arctan\Big(\frac{x^2-x-1}{x^2+x+1}\Big)\Big)dx\Big)=\pi$

Published on 15 Apr 2020 - 13:30

30

Views

3D Integral with complex variable, similar to 3D Fourier transformation in shape

Published on 15 Apr 2020 - 15:23

69

Views

Why isn't $\oint_{C} f(z) = 2\pi i\, \mathrm{d}z$?

Published on 26 Mar 2026 - 13:51

20

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Using cauchy integral for a gamma path. Is the integration done correctly?

Published on 26 Mar 2026 - 13:51

99

Views

How can I solve this integral using the Residue theorem?

Published on 17 Apr 2020 - 14:12

31

Views

Is there a way to solve $\partial_{\bar{z}}f=g$

Published on 18 Apr 2020 - 10:10

47

Views

$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Published on 23 Feb 2026 - 10:22

List Question

On complex integration

Complex integral on a circumference

Extremely trivial integral $\frac{1}{\tau}\int_0^\tau \mathrm{e}^{\mathrm{i} (n - m) t} \mathrm{d}t = \delta_{nm}$

Little curiosity $\Re\Big(\int_{0}^{1}\frac{x\ln(x)}{1+e^{ix}}dx\Big)=-\frac{1}{8}$

ML inequality for $ \int \frac{1}{z^2-1} \, dz $

Finding the Maclaurin series of a complex integral

How can I integrate $\exp(−\sin(θ))\cos(θ+\cos(θ))$?

Integral of Logarithm with complex terms

Nice integral $\Im\Big(\int_{0}^{1}\ln\Big(\arctan\Big(\frac{x^2-x-1}{x^2+x+1}\Big)\Big)dx\Big)=\pi$

3D Integral with complex variable, similar to 3D Fourier transformation in shape

Why isn't $\oint_{C} f(z) = 2\pi i\, \mathrm{d}z$?

Using cauchy integral for a gamma path. Is the integration done correctly?

How can I solve this integral using the Residue theorem?

Is there a way to solve $\partial_{\bar{z}}f=g$

$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

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