List questions from residue-calculus

Published on 19 May 2014 - 17:34

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Integral $P\int_0^\infty \frac{x^{\lambda-1}}{1-x} dx$

Published on 20 May 2014 - 21:21

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Finding the poles and residues of a complex function $\frac{\cos(z)-1}{(e^z - 1)^2}$

Published on 21 May 2014 - 20:36

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Integral $I(a,b)= P\int_{0}^{\pi}\frac{d\theta}{a-b\cos\theta}$

Published on 21 May 2014 - 21:59

125

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Contour integrals using residues

Published on 23 May 2014 - 0:03

137

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Calculate integral when I have a pole on the unit circle

Published on 27 May 2014 - 17:35

262

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Application of the residue theorem

Published on 28 May 2014 - 18:00

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what order is the pole at 0?

Published on 29 May 2014 - 21:17

720

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How to compute residue of $f(z)=z^3e^{\frac{1}{z}}$?

Published on 29 May 2014 - 21:33

160

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Computing the contour integral of $\frac{\log(z)}{z^2 +a^2}$.

Published on 30 May 2014 - 13:40

386

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Laurent-Series Expansion and Residues

Published on 27 Mar 2026 - 13:27

1.2k

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Classification of Singularities and Residues

Published on 27 Mar 2026 - 14:45

278

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Question about Residues at Poles

Published on 02 Jun 2014 - 5:46

250

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help with integral using residue theorem

Published on 02 Jun 2014 - 23:29

85

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Singularities of a function

Published on 03 Jun 2014 - 19:54

List Question

Prove that for an odd function, res(f, z0) = res(f, -z0)

Integral $P\int_0^\infty \frac{x^{\lambda-1}}{1-x} dx$

Finding the poles and residues of a complex function $\frac{\cos(z)-1}{(e^z - 1)^2}$

Integral $I(a,b)= P\int_{0}^{\pi}\frac{d\theta}{a-b\cos\theta}$

Contour integrals using residues

Calculate integral when I have a pole on the unit circle

Application of the residue theorem

what order is the pole at 0?

How to compute residue of $f(z)=z^3e^{\frac{1}{z}}$?

Computing the contour integral of $\frac{\log(z)}{z^2 +a^2}$.

Laurent-Series Expansion and Residues

Classification of Singularities and Residues

Question about Residues at Poles

help with integral using residue theorem

Singularities of a function

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