List questions from complex-integration

Published on 10 Mar 2019 - 21:17

51

Views

Residue theorem - simple integral around a singularity

Published on 12 Mar 2019 - 17:59

69

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Computing $\int_{\gamma}\frac{\sin(\pi z)}{(z^2-1)^2} dt$

Published on 14 Mar 2019 - 20:39

70

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1st Extension of Cauchy Integral Formula

Published on 15 Mar 2019 - 10:51

66

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Can we extend the idea of contour independence for complex contour integrals to several complex variables?

Published on 25 Mar 2026 - 14:23

218

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A puzzle with derivative of delta-functions

Published on 26 Mar 2026 - 11:04

57

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Change of variables integration for all real p>1?

Published on 19 Mar 2019 - 0:41

149

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Evaluate $\frac{1}{2\pi i}\int_\gamma\frac{f(z)}{(z-z_1)(z-z_2)}-\frac{f(z)}{(z-z_0)^2}$

Published on 25 Mar 2026 - 19:07

80

Views

Integrating a complex $e$-function

Published on 20 Mar 2019 - 20:19

89

Views

Translation property of the Airy transform for complex values

Published on 24 Feb 2026 - 0:43

102

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Evaluate $\int_{-\infty}^{\infty}\frac{dx}{(1+x^2)^z}$ where $\Re(z)>\frac{1}{2}$

Published on 23 Mar 2019 - 12:44

172

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Calculating infinite sum using Parseval's theorem

Published on 23 Mar 2019 - 19:06

60

Views

$S$ is domain(open set and connected) and $\gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$

Published on 24 Mar 2019 - 16:51

456

Views

How to integrate e$^{int}$ with respect to $t$?

Published on 25 Mar 2019 - 11:56

61

Views

Show $\int_{0}^{2\pi}e^{int}\mathrm dt=0$ for all $n\neq0$

Published on 25 Mar 2019 - 12:19

List Question

Using Cauchy theorem to compute $\int_{\gamma} z\overline{z}$

Residue theorem - simple integral around a singularity

Computing $\int_{\gamma}\frac{\sin(\pi z)}{(z^2-1)^2} dt$

1st Extension of Cauchy Integral Formula

Can we extend the idea of contour independence for complex contour integrals to several complex variables?

A puzzle with derivative of delta-functions

Change of variables integration for all real p>1?

Evaluate $\frac{1}{2\pi i}\int_\gamma\frac{f(z)}{(z-z_1)(z-z_2)}-\frac{f(z)}{(z-z_0)^2}$

Integrating a complex $e$-function

Translation property of the Airy transform for complex values

Evaluate $\int_{-\infty}^{\infty}\frac{dx}{(1+x^2)^z}$ where $\Re(z)>\frac{1}{2}$

Calculating infinite sum using Parseval's theorem

$S$ is domain(open set and connected) and $\gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$

How to integrate e$^{int}$ with respect to $t$?

Show $\int_{0}^{2\pi}e^{int}\mathrm dt=0$ for all $n\neq0$

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