List questions from complex-integration

Published on 26 Jan 2022 - 14:56

36

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Complex integral of $\int_{\partial D(0,1)}\frac{\mathrm{d}z}{z^2 -3z +1} $

Published on 28 Jan 2022 - 1:59

72

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Calculating a contour integral with a square root

Published on 30 Jan 2022 - 15:02

50

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$\int_{\gamma}\frac{1}{z^2+2}\,dz$

Published on 02 Feb 2022 - 14:05

136

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A Cauchy-Schwarz type integral inequality for analytic functions.

Published on 31 Mar 2026 - 23:07

17

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Residue calculations related to the inverse $\beta$ stable subordinator

Published on 03 Feb 2022 - 2:38

99

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Integral of squared absolute of Bessel function of first kind

Published on 03 Apr 2026 - 23:24

305

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Region of convergence of the Laplace transform.

Published on 03 Feb 2022 - 10:45

125

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Interpretation of Complex Integration over a Region

Published on 03 Feb 2022 - 15:26

483

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Evaluating $\int_{0}^{\infty} \frac{\ln^3 (1+x^2)}{1+2x^2} \, dx$ with contour integration

Published on 04 Feb 2022 - 19:59

136

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Proving contour integral vanishes along an arc

Published on 06 Feb 2022 - 15:09

190

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Solution to the Airy equation with real part

Published on 24 Feb 2026 - 7:10

91

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Calculation of an inverse Mellin transfrom

Published on 28 Mar 2026 - 15:26

41

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$e^{i2\pi a}=1$ or $e^{i2\pi a}=\cos(2\pi a)+i\sin(2\pi a)$?

Published on 30 Mar 2026 - 10:19

109

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How to calculate the improper integral $\int_0^{\infty}\frac{(\sin x)^4}{x^3} \,{\rm d}x$?

Published on 14 Feb 2022 - 14:28

List Question

Use contour integration to calculate $\int_{-\infty}^{+\infty} \frac{\sin^2(x)}{x^2+a^2}dx$

Complex integral of $\int_{\partial D(0,1)}\frac{\mathrm{d}z}{z^2 -3z +1} $

Calculating a contour integral with a square root

$\int_{\gamma}\frac{1}{z^2+2}\,dz$

A Cauchy-Schwarz type integral inequality for analytic functions.

Residue calculations related to the inverse $\beta$ stable subordinator

Integral of squared absolute of Bessel function of first kind

Region of convergence of the Laplace transform.

Interpretation of Complex Integration over a Region

Evaluating $\int_{0}^{\infty} \frac{\ln^3 (1+x^2)}{1+2x^2} \, dx$ with contour integration

Proving contour integral vanishes along an arc

Solution to the Airy equation with real part

Calculation of an inverse Mellin transfrom

$e^{i2\pi a}=1$ or $e^{i2\pi a}=\cos(2\pi a)+i\sin(2\pi a)$?

How to calculate the improper integral $\int_0^{\infty}\frac{(\sin x)^4}{x^3} \,{\rm d}x$?

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