List questions from complex-integration

Published on 08 Apr 2026 - 16:13

47

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Laurent series with $z_{0} = i$

Published on 04 Apr 2026 - 4:56

176

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Showing the circular part of the Bromwich contour vanishes

Published on 19 Nov 2022 - 17:53

341

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Cauchy principal value: methods

Published on 28 Mar 2026 - 5:48

83

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How to evaluate the following integral using complex analysis.

Published on 09 Apr 2026 - 12:45

144

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Evaluating $\int _{-\pi}^{\pi}\frac{\sin (x)}{1+x}dx$

Published on 24 Nov 2022 - 11:06

48

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Complex integral evaluation

Published on 09 Apr 2026 - 23:00

190

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Asymmetric change of variables to calculate a Complex Gaussian Integral

Published on 08 Apr 2026 - 18:42

72

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Prove that $\Psi$ is continuous.

Published on 11 Apr 2026 - 20:26

103

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How do I integrate this expression with the residue theorem?

Published on 11 Apr 2026 - 4:52

103

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Branch Cut related confusion

Published on 26 Mar 2026 - 6:26

47

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demo attempt: $|f^{(k)}(re^{i\theta})|\leq \frac{k!M}{(R-r)^{k}}$. Complex Variable.

Published on 30 Mar 2026 - 10:13

62

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Complex integral \[ \int_{0}^{+\infty}\frac{e^{\cos(x)}\cos\left(\sin\left(x\right)\right)}{a^{2}+x^{2}}dx. \]

Published on 04 Dec 2022 - 13:11

359

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Cauchy Integral Formula for $1/z+1/z^2$

Published on 30 Mar 2026 - 10:11

126

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$\oint_C \frac{\sin(z)}{e^z z^3}dz$

Published on 30 Mar 2026 - 10:16

List Question

Confusion about coefficients in Laurent series

Laurent series with $z_{0} = i$

Showing the circular part of the Bromwich contour vanishes

Cauchy principal value: methods

How to evaluate the following integral using complex analysis.

Evaluating $\int _{-\pi}^{\pi}\frac{\sin (x)}{1+x}dx$

Complex integral evaluation

Asymmetric change of variables to calculate a Complex Gaussian Integral

Prove that $\Psi$ is continuous.

How do I integrate this expression with the residue theorem?

Branch Cut related confusion

demo attempt: $|f^{(k)}(re^{i\theta})|\leq \frac{k!M}{(R-r)^{k}}$. Complex Variable.

Complex integral \[ \int_{0}^{+\infty}\frac{e^{\cos(x)}\cos\left(\sin\left(x\right)\right)}{a^{2}+x^{2}}dx. \]

Cauchy Integral Formula for $1/z+1/z^2$

$\oint_C \frac{\sin(z)}{e^z z^3}dz$

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