List questions from contour-integration

Published on 27 Mar 2026 - 12:27

109

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$\int_{|z| = 2 }\frac{4z^7-1}{z^8-2z+1} dz= ?$

Published on 26 Mar 2026 - 17:32

112

Views

Integral $\int_0^\infty \frac{\cos(x)}{(2x-\pi)(x^2+\pi^2)} dx$ using semicircle contour

Published on 02 Jan 2024 - 19:04

113

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Integrating a Modified Bessel function of the second kind with a singularity

Published on 28 Mar 2026 - 1:12

75

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Understand the geodesic, $\gamma$, induced by an abelian form $\omega$ and their integral

Published on 27 Mar 2026 - 17:52

54

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Convert a definite integral to a contour integral

Published on 02 Apr 2026 - 8:02

119

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Contour integral with finite limits

Published on 02 Apr 2026 - 7:51

153

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Contour integral of $\sqrt{\frac{z}{z-1}}$

Published on 30 Mar 2026 - 7:09

55

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Contour Integral involving a branch of $1 / \sqrt{z}$

Published on 19 Jan 2024 - 2:28

63

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Contour Integral: $\int_{c} e^{(z+1/z)} dz$ where $c$ is a unit circle.

Published on 19 Jan 2024 - 3:45

172

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Evaluating $\int_{0}^{\infty}{\frac{e^x}{x!} dx}$

Published on 04 Apr 2026 - 12:55

132

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I need help evaluating the integral $\int_{-\infty}^{\infty} \frac{\log(1+e^{-z})}{1+e^{-z}}dz$

Published on 27 Mar 2026 - 12:28

53

Views

What is the correct technique to integrate logarithms on paths on the complex plane?

Published on 23 Jan 2024 - 17:35

55

Views

Fourier transformation with a square root-log term

Published on 26 Mar 2026 - 1:01

182

Views

Fourier Transform of Gaussian with imaginary pole

Published on 08 Apr 2026 - 5:45

List Question

Contour integration with polylogarithm

$\int_{|z| = 2 }\frac{4z^7-1}{z^8-2z+1} dz= ?$

Integral $\int_0^\infty \frac{\cos(x)}{(2x-\pi)(x^2+\pi^2)} dx$ using semicircle contour

Integrating a Modified Bessel function of the second kind with a singularity

Understand the geodesic, $\gamma$, induced by an abelian form $\omega$ and their integral

Convert a definite integral to a contour integral

Contour integral with finite limits

Contour integral of $\sqrt{\frac{z}{z-1}}$

Contour Integral involving a branch of $1 / \sqrt{z}$

Contour Integral: $\int_{c} e^{(z+1/z)} dz$ where $c$ is a unit circle.

Evaluating $\int_{0}^{\infty}{\frac{e^x}{x!} dx}$

I need help evaluating the integral $\int_{-\infty}^{\infty} \frac{\log(1+e^{-z})}{1+e^{-z}}dz$

What is the correct technique to integrate logarithms on paths on the complex plane?

Fourier transformation with a square root-log term

Fourier Transform of Gaussian with imaginary pole

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