List questions from residue-calculus

Published on 10 May 2026 - 18:59

347

Views

square roots in multiplicative group of integers modulo n

Published on 10 May 2026 - 14:59

145

Views

Laurent series for $f(z) = \frac{\sinh(z + 3i)}{z(z + 3i)^3}$ at $-3i$ (not leaving as a product of series)

Published on 13 Apr 2026 - 10:50

366

Views

Complex integral $\oint_{|z|=1} \frac{z^2}{\sin^3 z \cos z} dz$

Published on 14 Apr 2026 - 6:50

128

Views

Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Published on 14 Apr 2026 - 21:46

85

Views

Finding the residue

Published on 09 Apr 2026 - 5:39

7.4k

Views

Find inverse Fourier transform of Lorentzian using complex integration

Published on 17 Apr 2026 - 5:34

123

Views

Computing a residue

Published on 13 Apr 2026 - 10:49

89

Views

For any positive integer $n \in \mathbb{N}, \text{Res} \Big ( \frac{1}{(1-e^{-z})^n} ;0 \Big ) = 1$.

Published on 15 Apr 2026 - 8:36

255

Views

Residue of $ctg(z)$

Published on 10 May 2026 - 13:46

59

Views

Residue of $\frac{1}{(z^2-1)^3}$ at the singularities.

Published on 17 Apr 2026 - 14:43

218

Views

Evaluate $\int_{|z|=3}\frac{dz}{z^3(z^{10}-2)}$

Published on 16 Apr 2026 - 20:00

1.1k

Views

Evaluate $\int_{|z|=4}\tan z dz$

Published on 15 Apr 2026 - 23:08

609

Views

Integrate $\int_{0}^{\infty} \frac{dx}{1 + x^n}$ using the Residue Theorem

Published on 16 Apr 2026 - 12:01

429

Views

Sum of Squares of Binomial Coefficients Using Residue Theorem

Published on 03 Apr 2026 - 0:07

List Question

Calculating Residue of $f^2$ with pole of order 2

square roots in multiplicative group of integers modulo n

Laurent series for $f(z) = \frac{\sinh(z + 3i)}{z(z + 3i)^3}$ at $-3i$ (not leaving as a product of series)

Complex integral $\oint_{|z|=1} \frac{z^2}{\sin^3 z \cos z} dz$

Complex integral with $\int_{+\partial D}\frac{\sin\left(\frac{1}{z}\right)\cos\left(\frac{1}{z-2}\right)}{z-5}\mathrm{dz}$

Finding the residue

Find inverse Fourier transform of Lorentzian using complex integration

Computing a residue

For any positive integer $n \in \mathbb{N}, \text{Res} \Big ( \frac{1}{(1-e^{-z})^n} ;0 \Big ) = 1$.

Residue of $ctg(z)$

Residue of $\frac{1}{(z^2-1)^3}$ at the singularities.

Evaluate $\int_{|z|=3}\frac{dz}{z^3(z^{10}-2)}$

Evaluate $\int_{|z|=4}\tan z dz$

Integrate $\int_{0}^{\infty} \frac{dx}{1 + x^n}$ using the Residue Theorem

Sum of Squares of Binomial Coefficients Using Residue Theorem

Trending Questions

Popular # Hahtags

Popular Questions