List questions from complex-integration

Published on 31 Jul 2020 - 11:40

52

Views

A meromorphic function with a pole at the origin so that $\lim_{z\to\infty} f$ exists, must be $P(z)/z^m$

Published on 02 Apr 2026 - 17:46

98

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How to calculate this integral using the Residues Theorem?

Published on 01 Aug 2020 - 14:42

234

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Gaussian integral with quadratic coefficients given by a non-symmetric complex matrix

Published on 29 Mar 2026 - 3:23

136

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How to deal with contour being "squeezed" by poles?

Published on 26 Mar 2026 - 22:53

210

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Showing Existence of Antiderivative for Complex-Valued Function

Published on 04 Aug 2020 - 0:07

103

Views

Computing contour integral of $\frac{|z-a|^2}{z|z-b|^2}$ on unit circle and understanding it

Published on 06 Aug 2020 - 6:26

330

Views

Understanding Difference Between Cauchy-Goursat and Related Theorem

Published on 29 Mar 2026 - 7:30

454

Views

On Complex Improper Integrals and Rectifiable Paths

Published on 10 Aug 2020 - 14:14

53

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Analytic continuation of the power series

Published on 10 Aug 2020 - 14:58

171

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find the complex integral: $\int_0^\infty \frac{z^6}{(z^4+1)^2}dz$. Problem with integral formula....

Published on 29 Mar 2026 - 7:30

566

Views

Complex integration over sphere

Published on 14 Aug 2020 - 11:37

239

Views

Can anyone prove that gamma function is complex for complex inputs?

Published on 14 Aug 2020 - 13:55

157

Views

Improper Definite integral $\int_{-\infty}^\infty -\frac{i \pi e^{-i a p} \text{sech}\left(\frac{c p}{2}\right)}{p}dp$

Published on 15 Aug 2020 - 15:31

125

Views

Asymptotic evaluation of an integral using steepest descent

Published on 15 Aug 2020 - 15:51

List Question

Complex integration around unit circle centresd at origin

A meromorphic function with a pole at the origin so that $\lim_{z\to\infty} f$ exists, must be $P(z)/z^m$

How to calculate this integral using the Residues Theorem?

Gaussian integral with quadratic coefficients given by a non-symmetric complex matrix

How to deal with contour being "squeezed" by poles?

Showing Existence of Antiderivative for Complex-Valued Function

Computing contour integral of $\frac{|z-a|^2}{z|z-b|^2}$ on unit circle and understanding it

Understanding Difference Between Cauchy-Goursat and Related Theorem

On Complex Improper Integrals and Rectifiable Paths

Analytic continuation of the power series

find the complex integral: $\int_0^\infty \frac{z^6}{(z^4+1)^2}dz$. Problem with integral formula....

Complex integration over sphere

Can anyone prove that gamma function is complex for complex inputs?

Improper Definite integral $\int_{-\infty}^\infty -\frac{i \pi e^{-i a p} \text{sech}\left(\frac{c p}{2}\right)}{p}dp$

Asymptotic evaluation of an integral using steepest descent

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