List questions from complex-integration

Published on 24 May 2020 - 20:30

253

Views

What is the residue of $f(z) = z\sin(z + {1 \over z})$ at $z_0 = 0$?

Published on 28 Mar 2026 - 20:08

115

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Calculate the following integral $\int_{|z|=1}\frac{z^m}{(z-a)^n}dz$

Published on 26 Mar 2026 - 17:14

73

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Stokes's Theorem with singularities on projective line

Published on 29 Mar 2026 - 18:31

101

Views

contour integration complex variables

Published on 27 May 2020 - 9:09

112

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Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

Published on 25 Mar 2026 - 9:53

853

Views

Complex Ordinary Differential Equations

Published on 29 May 2020 - 19:07

213

Views

Laplace transform of products (one involves Heaviside, the other Dirac)

Published on 30 May 2020 - 14:54

91

Views

Bounding the absolute value of a complex integral

Published on 30 Mar 2026 - 11:56

65

Views

How to deal with a singularity on the integration contour

Published on 02 Jun 2020 - 14:44

454

Views

How to evaluate $\int_{|z|=2} \frac{1}{z^2+z+1} dz$

Published on 26 Mar 2026 - 17:13

59

Views

Compute the complex

Published on 26 Mar 2026 - 17:11

142

Views

Bound on a complex integral using polar form

Published on 03 Jun 2020 - 13:57

1.1k

Views

How to evaluate $\int_{|z|=2} \frac{|z| e^z}{z^2} dz$?

Published on 26 Mar 2026 - 17:13

3.9k

Views

Evaluate the integral $\int_{|z-1|=2} \frac{1}{z^2 - 2i} dz$

Published on 26 Mar 2026 - 17:13

List Question

A (theory) question at index of a curve

What is the residue of $f(z) = z\sin(z + {1 \over z})$ at $z_0 = 0$?

Calculate the following integral $\int_{|z|=1}\frac{z^m}{(z-a)^n}dz$

Stokes's Theorem with singularities on projective line

contour integration complex variables

Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

Complex Ordinary Differential Equations

Laplace transform of products (one involves Heaviside, the other Dirac)

Bounding the absolute value of a complex integral

How to deal with a singularity on the integration contour

How to evaluate $\int_{|z|=2} \frac{1}{z^2+z+1} dz$

Compute the complex

Bound on a complex integral using polar form

How to evaluate $\int_{|z|=2} \frac{|z| e^z}{z^2} dz$?

Evaluate the integral $\int_{|z-1|=2} \frac{1}{z^2 - 2i} dz$

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