List questions from residue-calculus

Published on 04 May 2026 - 2:13

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Integrating using residue theorem

Published on 12 Apr 2026 - 21:03

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Evaluating $\int_0^{2\pi} \frac {\cos(\theta)}{5-3\cos(\theta)} \, d\theta$ using residue theorem

Published on 16 Apr 2026 - 14:13

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Evaluating an integral using the residue theorem

Published on 10 Apr 2026 - 4:31

310

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Solving recurrence relations using generating functions with complex analysis

Published on 02 May 2026 - 23:55

432

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Problem based on Casorati Weierstrass Theorem

Published on 13 Apr 2026 - 0:22

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Complex integrals of $1/(z+a)$ over the unit circle

Published on 14 Apr 2026 - 0:42

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Evaluate using contour integration $\int_0^{\pi}\frac{\sin(2\theta)}{5-3\cos(\theta)}d\theta$

Published on 15 Apr 2026 - 14:36

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How to find the residue of $\frac{1}{z-f(z)}$?

Published on 29 Apr 2026 - 12:54

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Evaluate this integral $\int ^\infty _0 \frac{z^{a-1}}{z^2+b}dz$

Published on 15 Apr 2026 - 5:54

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How to solve this integral using Residue Theory

Published on 11 Apr 2026 - 4:11

551

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Residue of a Function Not at the Pole

Published on 10 Apr 2026 - 16:18

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Find all poles, and their residues, as functions of a?

Published on 29 Apr 2026 - 12:54

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Give an example of a function $f$ which has a simple pole at $z=i-3$ with residue $8(i-3)$ and an essential singularity at $z=i$ with residue $6$

Published on 16 Apr 2026 - 14:48

262

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complex analysis- simple poles of the gamma function

Published on 10 May 2026 - 13:48

List Question

Finding the residue of essential singularities

Integrating using residue theorem

Evaluating $\int_0^{2\pi} \frac {\cos(\theta)}{5-3\cos(\theta)} \, d\theta$ using residue theorem

Evaluating an integral using the residue theorem

Solving recurrence relations using generating functions with complex analysis

Problem based on Casorati Weierstrass Theorem

Complex integrals of $1/(z+a)$ over the unit circle

Evaluate using contour integration $\int_0^{\pi}\frac{\sin(2\theta)}{5-3\cos(\theta)}d\theta$

How to find the residue of $\frac{1}{z-f(z)}$?

Evaluate this integral $\int ^\infty _0 \frac{z^{a-1}}{z^2+b}dz$

How to solve this integral using Residue Theory

Residue of a Function Not at the Pole

Find all poles, and their residues, as functions of a?

Give an example of a function $f$ which has a simple pole at $z=i-3$ with residue $8(i-3)$ and an essential singularity at $z=i$ with residue $6$

complex analysis- simple poles of the gamma function

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