List questions from residue-calculus

Published on 30 Mar 2026 - 8:01

166

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Integrating a function with two branch point $ {\int_{1}^\infty} \frac{dx}{{x(x^2-1)}^{1/2}} $

Published on 25 Mar 2026 - 3:20

365

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Complex contour integral and Laurent series of $\frac{\sin z}{z^3-z}$

Published on 28 Mar 2026 - 16:14

177

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Residue of $f(z) = z^2 \sin\left(\frac{1}{z^2}\right)$

Published on 01 May 2020 - 0:13

49

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Can someone walk me through this substitution?

Published on 04 May 2020 - 19:19

22

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Not understanding a step in the term by term integration of a Laurent series

Published on 07 May 2020 - 11:02

48

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Residues of modified function and integrals

Published on 10 May 2020 - 18:45

61

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how to factorize the following function?

Published on 11 May 2020 - 20:08

123

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Evaluate logarithmic integral $\int_{-\infty}^{\infty}\frac{\ln{(x^2+a^2)}}{x^2+b^2}\,dx$

Published on 12 May 2020 - 18:11

78

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Can you find a residue by using Taylor's formula for a single coefficient instead of expanding into a Laurent series?

Published on 28 Mar 2026 - 20:09

193

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Compute $\int_0^{+\infty}\frac{\sin x + \cos x}{x^4+1}dx$

Published on 15 May 2020 - 18:37

75

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What are the isolation singularities of this function?

Published on 26 Mar 2026 - 16:23

67

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How to compute this contour integral with a modulus?

Published on 18 May 2020 - 1:04

333

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How to find the residue of$f(z)=\frac{1}{z(1-e^{2z})}$ at simple poles $z=ni\pi$?

Published on 18 May 2020 - 10:58

151

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Calculation of Complex Limit

Published on 19 May 2020 - 19:36

List Question

About triviality of a path in Residue Theorem

Integrating a function with two branch point $ {\int_{1}^\infty} \frac{dx}{{x(x^2-1)}^{1/2}} $

Complex contour integral and Laurent series of $\frac{\sin z}{z^3-z}$

Residue of $f(z) = z^2 \sin\left(\frac{1}{z^2}\right)$

Can someone walk me through this substitution?

Not understanding a step in the term by term integration of a Laurent series

Residues of modified function and integrals

how to factorize the following function?

Evaluate logarithmic integral $\int_{-\infty}^{\infty}\frac{\ln{(x^2+a^2)}}{x^2+b^2}\,dx$

Can you find a residue by using Taylor's formula for a single coefficient instead of expanding into a Laurent series?

Compute $\int_0^{+\infty}\frac{\sin x + \cos x}{x^4+1}dx$

What are the isolation singularities of this function?

How to compute this contour integral with a modulus?

How to find the residue of$f(z)=\frac{1}{z(1-e^{2z})}$ at simple poles $z=ni\pi$?

Calculation of Complex Limit

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