List questions from contour-integration

Published on 11 Jan 2016 - 12:22

288

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$1/\sinh^2z$ near real infinity

Published on 11 Jan 2016 - 18:18

41

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Computing this contour integral on the line $\mathbb{R} - 10 i$?

Published on 11 Jan 2016 - 21:43

141

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How do I evaluate $\int_{0}^{\infty} u^{z-1}(e^{iu}-1) \, du$?

Published on 11 Jan 2016 - 22:27

150

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Can this integral be evaluated/approximated?

Published on 26 Mar 2026 - 4:35

33

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Can somebody check whether I have calculated this contour integral correctly?

Published on 12 Jan 2016 - 20:38

89

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Trigonometric contour integral

Published on 03 Apr 2026 - 23:29

191

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integration using residue

Published on 13 Jan 2016 - 1:27

358

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how to calculate $\int_{0}^{\infty}\frac{x}{\sqrt{e^x-1}}\mathrm{d}x$

Published on 14 Jan 2016 - 23:12

356

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How to show that $\int_0^{\infty} dx \frac{\log{x}}{1+x^2}$ is zero using complex analysis

Published on 03 Apr 2026 - 23:31

255

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How to calculate $\int_{-\infty}^{\infty}\frac{x^2}{\cosh(x)}\mathrm{d}x$

Published on 03 Apr 2026 - 23:31

1.4k

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Proof that $ \int_0^\infty x^{d-4}\sin x\, dx = \cos \frac{\pi d}{2} \Gamma(d-3)$, for $2<\Re(d)<4 $?

Published on 05 Apr 2026 - 22:20

1k

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Convolution of complex functions (Laplace Domain)

Published on 08 Apr 2026 - 9:02

247

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Fourier transform of a Lévy density $\frac{1}{\sqrt{2\pi }}\int_{0}^{\infty} e^{ikx-\frac{1}{2x}}x^{-\frac{3}{2}}dx$

Published on 17 Jan 2016 - 0:17

109

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Contour integral to real integral: find suitable change of variables

Published on 31 Mar 2026 - 9:41

List Question

Contour integration of a non-single valued complex function

$1/\sinh^2z$ near real infinity

Computing this contour integral on the line $\mathbb{R} - 10 i$?

How do I evaluate $\int_{0}^{\infty} u^{z-1}(e^{iu}-1) \, du$?

Can this integral be evaluated/approximated?

Can somebody check whether I have calculated this contour integral correctly?

Trigonometric contour integral

integration using residue

how to calculate $\int_{0}^{\infty}\frac{x}{\sqrt{e^x-1}}\mathrm{d}x$

How to show that $\int_0^{\infty} dx \frac{\log{x}}{1+x^2}$ is zero using complex analysis

How to calculate $\int_{-\infty}^{\infty}\frac{x^2}{\cosh(x)}\mathrm{d}x$

Proof that $ \int_0^\infty x^{d-4}\sin x\, dx = \cos \frac{\pi d}{2} \Gamma(d-3)$, for $2<\Re(d)<4 $?

Convolution of complex functions (Laplace Domain)

Fourier transform of a Lévy density $\frac{1}{\sqrt{2\pi }}\int_{0}^{\infty} e^{ikx-\frac{1}{2x}}x^{-\frac{3}{2}}dx$

Contour integral to real integral: find suitable change of variables

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