List questions from complex-integration

Published on 05 Sep 2020 - 13:40

637

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Cauchy’s theorem for triangles

Published on 29 Mar 2026 - 9:55

45

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Finding $M_0$ and $k>1$ such that $|\frac{\ln(z+i\sqrt{5})}{z^{2} +7}|\leq \frac{M_{0}}{R^{k}}$

Published on 08 Sep 2020 - 0:51

65

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Calculate the following integrals of complex variable

Published on 08 Sep 2020 - 1:49

134

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Is there any way to tackle this integral (generating functions)?

Published on 09 Sep 2020 - 17:33

85

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Find the region of convergence

Published on 10 Sep 2020 - 17:12

57

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Find the Laurent expansion of $f(z)=\frac{1}{(z^2-1)^2}$

Published on 02 Apr 2026 - 19:38

241

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Evaluating a definite integral using complex integration

Published on 12 Sep 2020 - 19:41

227

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how to calculate the integral $\int_{0}^{+\infty}\displaystyle\frac{x^\beta\cos(ax)}{x^2-b^2}dx$

Published on 15 Sep 2020 - 8:55

249

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Cauchy's integral theorem proof from Green's theorem

Published on 29 Mar 2026 - 9:09

52

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Evaluate $\int_{|z| = r} \frac{1}{a-\overline{z}}dz$

Published on 18 Sep 2020 - 5:38

83

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Complex Integration (Residue Theorem)

Published on 18 Sep 2020 - 22:49

52

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Cauchy-Goursat Theorem with singularities in $\partial R_0$

Published on 29 Mar 2026 - 7:28

50

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Estimating $|\int_{\beta}\exp(iz^2)\ dz|$

Published on 20 Sep 2020 - 21:50

39

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Complex line integral in terms of x and y

Published on 21 Sep 2020 - 2:56

List Question

How to perform double contour integrals?

Cauchy’s theorem for triangles

Finding $M_0$ and $k>1$ such that $|\frac{\ln(z+i\sqrt{5})}{z^{2} +7}|\leq \frac{M_{0}}{R^{k}}$

Calculate the following integrals of complex variable

Is there any way to tackle this integral (generating functions)?

Find the region of convergence

Find the Laurent expansion of $f(z)=\frac{1}{(z^2-1)^2}$

Evaluating a definite integral using complex integration

how to calculate the integral $\int_{0}^{+\infty}\displaystyle\frac{x^\beta\cos(ax)}{x^2-b^2}dx$

Cauchy's integral theorem proof from Green's theorem

Evaluate $\int_{|z| = r} \frac{1}{a-\overline{z}}dz$

Complex Integration (Residue Theorem)

Cauchy-Goursat Theorem with singularities in $\partial R_0$

Estimating $|\int_{\beta}\exp(iz^2)\ dz|$

Complex line integral in terms of x and y

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