List questions from contour-integration

Published on 26 Mar 2026 - 8:14

223

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Computing $\frac{1}{\pi}\int\int_\mathbb{D}|\phi_\alpha '|^2 dxdy$

Published on 15 Apr 2026 - 22:46

213

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Find $\oint_{| z|=1}\frac{\log \mid \zeta(\frac{z}{z-1})\mid}{z}dz$

Published on 15 Apr 2026 - 17:06

65

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Dirac Distribution in Polar Coordinates as a Measure

Published on 12 Apr 2026 - 1:34

103

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Countour Integration

Published on 09 Apr 2026 - 20:21

410

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Residue at infinity and quotient of complex polynomials

Published on 11 Apr 2026 - 21:44

121

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Show that if $f$ is analytic on $B(z_0,r)\setminus\{z_0\}$, and $ \lim_{z\to z_0} f(z)(z-z_0)=A$ , then, $\oint_{|z-z_0|=r} f(z) dz=2\pi iA$

Published on 15 Apr 2026 - 18:32

62

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How to calculate $\int_{|z|=4} \frac{z^2dz}{e^{z^2}-1}$

Published on 13 Apr 2026 - 11:21

54

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An Inside-Outside Theorem for contour integration with fractional powers?

Published on 10 Apr 2026 - 23:11

220

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Evaluating $\int_0^{\infty} \int_0^{\infty} \frac{\sin(x)\sin(x+y)}{x(x+y)}\,\mathrm dx\,\mathrm dy$

Published on 16 Apr 2026 - 10:30

199

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Path Independence of Line Integrals

Published on 10 Apr 2026 - 17:26

192

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Using Cauchy's theorem on $1/z$ in the unit disk

Published on 12 Apr 2026 - 1:38

215

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Contour integration with logarithm

Published on 11 Apr 2026 - 11:32

341

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$\int \frac{\cos x}{x} dx $ using contour integration

Published on 16 Apr 2026 - 0:36

250

Views

confusion in finding $I=\frac{1}{2\pi j} \oint_c Re\{ z\} \, dz$

Published on 09 Apr 2026 - 23:52

List Question

Cauchy Principal value: Question about the integration boundaries of this integral

Computing $\frac{1}{\pi}\int\int_\mathbb{D}|\phi_\alpha '|^2 dxdy$

Find $\oint_{| z|=1}\frac{\log \mid \zeta(\frac{z}{z-1})\mid}{z}dz$

Dirac Distribution in Polar Coordinates as a Measure

Countour Integration

Residue at infinity and quotient of complex polynomials

Show that if $f$ is analytic on $B(z_0,r)\setminus\{z_0\}$, and $ \lim_{z\to z_0} f(z)(z-z_0)=A$ , then, $\oint_{|z-z_0|=r} f(z) dz=2\pi iA$

How to calculate $\int_{|z|=4} \frac{z^2dz}{e^{z^2}-1}$

An Inside-Outside Theorem for contour integration with fractional powers?

Evaluating $\int_0^{\infty} \int_0^{\infty} \frac{\sin(x)\sin(x+y)}{x(x+y)}\,\mathrm dx\,\mathrm dy$

Path Independence of Line Integrals

Using Cauchy's theorem on $1/z$ in the unit disk

Contour integration with logarithm

$\int \frac{\cos x}{x} dx $ using contour integration

confusion in finding $I=\frac{1}{2\pi j} \oint_c Re\{ z\} \, dz$

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