List questions from complex-integration

Published on 22 Mar 2020 - 11:52

50

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Find $\int_{|z+2|=1}\frac{e^{z^2}}{z^{1995}}dz$

Published on 23 Mar 2020 - 18:36

69

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Uniform Limits of Analytic functions, complex analysis question

Published on 26 Mar 2026 - 9:20

42

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Why is $\left.\frac {-1} {s+a} e^{-(s+a)t}\right\vert_{t=0}^{t=\infty}= \frac 1 {s+a}$ and that the ROC is: $\operatorname{Re}(s+a)>0$?

Published on 25 Mar 2020 - 17:30

271

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Double integral over the unit circle and Cauchy's integral formula

Published on 26 Mar 2026 - 12:06

158

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Integrate $\int_0^\infty \frac{\sin x}{x(1+x^2)^2} dx$ with contour integral

Published on 26 Mar 2026 - 12:07

46

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Can the "frequency" in the Fourier form of the Delta function ever be complex?

Published on 28 Mar 2026 - 11:33

19

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Calculate $-\frac{1}{2\pi i}\int_{B(z_0,r)}\frac{1}{w-z}\mathrm d \bar w\mathrm d w$

Published on 29 Mar 2020 - 10:01

61

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Compute the real integral $\int_{0}^{2\pi} \frac{d\varphi}{2+\sin{\varphi}}$ by converting to a complex integral.

Published on 29 Mar 2020 - 14:02

95

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Calculating the residue of the function $f(z)=\frac{\mathrm{e}^z}{z^2}$ in the point $z=0$ straight from the definition.

Published on 30 Mar 2020 - 8:48

103

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Coupled complex double integral

Published on 30 Mar 2020 - 16:30

337

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Correct asymptotic for parabolic cylinder function of large argument

Published on 30 Mar 2020 - 17:35

75

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$\int_0^{2 \pi} \frac{1}{|e^{i \theta}-a|^2} d \theta $

Published on 30 Mar 2020 - 22:15

185

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Residue of pole of very high order

Published on 31 Mar 2020 - 18:45

131

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How do you compute this integral?

Published on 01 Apr 2020 - 13:43

List Question

Prove that this function tends to 0

Find $\int_{|z+2|=1}\frac{e^{z^2}}{z^{1995}}dz$

Uniform Limits of Analytic functions, complex analysis question

Why is $\left.\frac {-1} {s+a} e^{-(s+a)t}\right\vert_{t=0}^{t=\infty}= \frac 1 {s+a}$ and that the ROC is: $\operatorname{Re}(s+a)>0$?

Double integral over the unit circle and Cauchy's integral formula

Integrate $\int_0^\infty \frac{\sin x}{x(1+x^2)^2} dx$ with contour integral

Can the "frequency" in the Fourier form of the Delta function ever be complex?

Calculate $-\frac{1}{2\pi i}\int_{B(z_0,r)}\frac{1}{w-z}\mathrm d \bar w\mathrm d w$

Compute the real integral $\int_{0}^{2\pi} \frac{d\varphi}{2+\sin{\varphi}}$ by converting to a complex integral.

Calculating the residue of the function $f(z)=\frac{\mathrm{e}^z}{z^2}$ in the point $z=0$ straight from the definition.

Coupled complex double integral

Correct asymptotic for parabolic cylinder function of large argument

$\int_0^{2 \pi} \frac{1}{|e^{i \theta}-a|^2} d \theta $

Residue of pole of very high order

How do you compute this integral?

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