List questions from residue-calculus

Published on 25 Mar 2026 - 22:01

276

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How to evaluate poles of fractional order (that do not lie on branch cuts!)

Published on 22 Aug 2019 - 13:18

403

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Contour integration with delta functions

Published on 26 Mar 2026 - 21:07

274

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Complex analysis - Prove a holomorphic function has at least one high-order pole

Published on 27 Aug 2019 - 13:19

85

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Another residue integral

Published on 27 Aug 2019 - 21:37

99

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How to calculate the residue of a holomorph application germ in $\mathbb{C}^{n}$

Published on 25 Mar 2026 - 14:25

69

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Residue of a function with (essential) singularities at both $0$ and $\infty$

Published on 03 Sep 2019 - 8:25

331

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contour integration of trigonometric function limit is not pi or 2pi

Published on 07 Sep 2019 - 15:38

225

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Prove that there is no uniqueness of factorisation in $\mathbb{Z}[\sqrt{10}]$.

Published on 10 Sep 2019 - 21:07

57

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Residue calculation for simple pole is coming different from two approaches.

Published on 28 Mar 2026 - 3:02

59

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Calculate $\int_{-\infty}^{\infty} \frac{x^4}{(x^2 + a^2)^4} dx$ based on residues in complex analysis.

Published on 26 Sep 2019 - 7:14

479

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Understanding the global residue theorem

Published on 28 Mar 2026 - 3:00

793

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$\zeta(0)$ and the limit of $(1-s)\zeta(s)$ as $s\to 1$

Published on 29 Sep 2019 - 10:56

713

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Prove: Existence of holomorphic primitive if and only if all residues are zero.

Published on 29 Sep 2019 - 16:48

841

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prove $\int_{0}^{2\pi}(1-\cos x)^n\cos nx dx=(-1)^n\frac{\pi}{2^{n-1}} $

Published on 12 Mar 2014 - 23:39

List Question

Complex Residue w Absolute Values

How to evaluate poles of fractional order (that do not lie on branch cuts!)

Contour integration with delta functions

Complex analysis - Prove a holomorphic function has at least one high-order pole

Another residue integral

How to calculate the residue of a holomorph application germ in $\mathbb{C}^{n}$

Residue of a function with (essential) singularities at both $0$ and $\infty$

contour integration of trigonometric function limit is not pi or 2pi

Prove that there is no uniqueness of factorisation in $\mathbb{Z}[\sqrt{10}]$.

Residue calculation for simple pole is coming different from two approaches.

Calculate $\int_{-\infty}^{\infty} \frac{x^4}{(x^2 + a^2)^4} dx$ based on residues in complex analysis.

Understanding the global residue theorem

$\zeta(0)$ and the limit of $(1-s)\zeta(s)$ as $s\to 1$

Prove: Existence of holomorphic primitive if and only if all residues are zero.

prove $\int_{0}^{2\pi}(1-\cos x)^n\cos nx dx=(-1)^n\frac{\pi}{2^{n-1}} $

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