List questions from complex-integration

Published on 30 Jan 2019 - 18:55

154

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Integrate $\int_{-\infty}^{\infty} e^{itx}\frac{1}{\sqrt{2 \pi}} e^{-x^2/2} dx?$

Published on 01 Feb 2019 - 15:11

130

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Calculate the integral using complex analysis $\int_0^{\infty}\frac{\sin(\sqrt s)}{(1+s)^{2}} ds$

Published on 01 Feb 2019 - 18:17

3.8k

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Integral of real part of $z$ around the unit circle

Published on 25 Mar 2026 - 3:21

215

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Integral of Complex Gaussian: $\int_{-\infty}^{\infty} e^{-(2\pi x +i\omega)^2}dx$.

Published on 09 Feb 2019 - 16:56

32

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prove that for any $f \in C^1(U)$

Published on 09 Feb 2019 - 21:06

187

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How to determine $\gamma$ in Fox H-function

Published on 13 Feb 2019 - 10:47

53

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Why is the limit of $\int {\frac{1}{z-z_0-x} - \frac{1}{z-z_0+x}}dz$ on a vertical segment as $x$ approaches $0$ not $0$?

Published on 15 Feb 2019 - 17:56

79

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How the line element change in a complex change of variables?

Published on 25 Mar 2026 - 5:56

88

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Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

Published on 25 Mar 2026 - 23:39

468

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Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Published on 25 Mar 2026 - 17:37

1k

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Complex integral help: $\oint_C \frac{\sin(z)}{z(z-\pi/4)} dz$

Published on 20 Feb 2019 - 14:09

55

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Compute $I(t) = \int\limits_{0}^{\infty} e^{jx(t+j)}dx$

Published on 21 Feb 2019 - 18:36

117

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Calculate $I(t,n) = \int_{-\infty}^{\infty} \big( \frac{1}{1-jq} \big)^{n} e^{-jqt} dq$

Published on 21 Feb 2019 - 20:14

116

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Evaluate $\int_0^{2\pi}\frac{i}{e^{it}+2}dt$

Published on 23 Feb 2019 - 9:35

List Question

Quick way of solving the contour integral $\oint \frac{1}{1+z^5} dz$

Integrate $\int_{-\infty}^{\infty} e^{itx}\frac{1}{\sqrt{2 \pi}} e^{-x^2/2} dx?$

Calculate the integral using complex analysis $\int_0^{\infty}\frac{\sin(\sqrt s)}{(1+s)^{2}} ds$

Integral of real part of $z$ around the unit circle

Integral of Complex Gaussian: $\int_{-\infty}^{\infty} e^{-(2\pi x +i\omega)^2}dx$.

prove that for any $f \in C^1(U)$

How to determine $\gamma$ in Fox H-function

Why is the limit of $\int {\frac{1}{z-z_0-x} - \frac{1}{z-z_0+x}}dz$ on a vertical segment as $x$ approaches $0$ not $0$?

How the line element change in a complex change of variables?

Integrate $\int_{|z|=1/2}\frac{e^{1-z}}{z^{3}(1-z)}dz$ verification

Integrate $\int_{|z|=1}z^{3}e^{1/z}dz$ - verification

Complex integral help: $\oint_C \frac{\sin(z)}{z(z-\pi/4)} dz$

Compute $I(t) = \int\limits_{0}^{\infty} e^{jx(t+j)}dx$

Calculate $I(t,n) = \int_{-\infty}^{\infty} \big( \frac{1}{1-jq} \big)^{n} e^{-jqt} dq$

Evaluate $\int_0^{2\pi}\frac{i}{e^{it}+2}dt$

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