List questions from contour-integration

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Evaluating $\int_{0}^{\infty} \frac{1}{a_{n}x^{n} + ... + a_{2}x^{2} + a_{o}}dx$ via Residue Theory?

Published on 29 Mar 2026 - 13:53

113

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How to compute this definite improper integral using the Residue Theorem??

Published on 06 Oct 2018 - 20:47

84

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Contour Deformation in the Laplace Inversion Formula

Published on 27 Mar 2026 - 16:58

325

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If $f(z)$ is analytic inside and on the circle $|z| = 2$, is $\oint_{|z|=2}f(z) = 0?$

Published on 25 Mar 2026 - 11:16

1.4k

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Contour integral of $\frac{\sin z}{(z^2+1)^2}$.

Published on 26 Mar 2026 - 7:39

150

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Certain Complex Integral

Published on 11 Oct 2018 - 2:27

43

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How do I evaluate the following integral for a complex-valued function?

Published on 11 Oct 2018 - 12:15

47

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De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

Published on 26 Mar 2026 - 7:35

587

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Calculate complex curve integral along rectangle

Published on 25 Mar 2026 - 14:28

411

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integral of $e^z \log z$ over parabola in complex plane

Published on 29 Mar 2026 - 15:33

369

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Contour integration and the central binomial coefficients

Published on 19 Oct 2018 - 16:41

366

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$\displaystyle\int_{0}^{2\pi}\frac{1}{a+ \cos\theta}\,d\theta$

Published on 20 Oct 2018 - 4:45

61

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How could I integrate $\int_0^\infty \sin(k|x|)/k^2\,dk$?

Published on 21 Oct 2018 - 14:18

111

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Application of Morera's theorem to constructed function

Published on 26 Mar 2026 - 9:37

86

Views

Is this an appropriate proof to show that $n(\gamma,a)=-n(-\gamma,a)$

Published on 12 Mar 2026 - 8:16

List Question

Evaluating $\int_{0}^{\infty} \frac{1}{a_{n}x^{n} + ... + a_{2}x^{2} + a_{o}}dx$ via Residue Theory?

How to compute this definite improper integral using the Residue Theorem??

Contour Deformation in the Laplace Inversion Formula

If $f(z)$ is analytic inside and on the circle $|z| = 2$, is $\oint_{|z|=2}f(z) = 0?$

Contour integral of $\frac{\sin z}{(z^2+1)^2}$.

Certain Complex Integral

How do I evaluate the following integral for a complex-valued function?

De forming the contour and showing that the contributions of contours of infinitely small lengths go to zero

Calculate complex curve integral along rectangle

integral of $e^z \log z$ over parabola in complex plane

Contour integration and the central binomial coefficients

$\displaystyle\int_{0}^{2\pi}\frac{1}{a+ \cos\theta}\,d\theta$

How could I integrate $\int_0^\infty \sin(k|x|)/k^2\,dk$?

Application of Morera's theorem to constructed function

Is this an appropriate proof to show that $n(\gamma,a)=-n(-\gamma,a)$

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