List questions from residue-calculus

Published on 08 Feb 2019 - 9:40

36

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Residue-Calculus: Why does this equation hold?

Published on 15 Feb 2019 - 17:25

808

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Evaluate $\int_{|z|=1} \frac{1}{e^z -1-2z}dz$ by using Cauchy's residue theorem

Published on 25 Mar 2026 - 16:03

642

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Holomorphic coordinates on Riemann surfaces

Published on 25 Mar 2026 - 19:01

54

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Compute the integral using complex analysis method

Published on 19 Feb 2019 - 21:35

295

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Eigenvector normalization, poles and residue

Published on 20 Feb 2019 - 9:25

1k

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Complex integral help: $\oint_C \frac{\sin(z)}{z(z-\pi/4)} dz$

Published on 27 Mar 2026 - 4:34

56

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finding the residue ? Tough question

Published on 20 Feb 2019 - 16:42

60

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contour integration of $I=\int^{\infty}_{-\infty}\frac{\cos x}{x+i}$

Published on 23 Feb 2019 - 15:34

167

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Contour integral involving moduli in the integrand

Published on 27 Mar 2026 - 7:48

93

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Verification of Complex Integral $\int \frac{e^{i\pi z}}{2z^2-5z+2}dz$

Published on 26 Feb 2019 - 11:16

117

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calcuating residue of a complex function

Published on 26 Mar 2026 - 16:57

104

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Expressing $G_{m,m+1}^{m+1,0}\left(x\middle| \begin{array}{c}1,\cdots,1 \\0,0,\cdots,0\\\end{array}\right)$ as a power series.

Published on 27 Mar 2026 - 7:49

218

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How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

Published on 25 Mar 2026 - 17:40

81

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Compute the integral $I=\int_\gamma f(z)\, dz$, where $f(z)=\frac{e^{z^2}}{z^2-6z}$ and $\gamma=\{z:|z-2|=3\}$.

Published on 27 Mar 2026 - 7:50

List Question

Finding the residue of a function at $z_0$?

Residue-Calculus: Why does this equation hold?

Evaluate $\int_{|z|=1} \frac{1}{e^z -1-2z}dz$ by using Cauchy's residue theorem

Holomorphic coordinates on Riemann surfaces

Compute the integral using complex analysis method

Eigenvector normalization, poles and residue

Complex integral help: $\oint_C \frac{\sin(z)}{z(z-\pi/4)} dz$

finding the residue ? Tough question

contour integration of $I=\int^{\infty}_{-\infty}\frac{\cos x}{x+i}$

Contour integral involving moduli in the integrand

Verification of Complex Integral $\int \frac{e^{i\pi z}}{2z^2-5z+2}dz$

calcuating residue of a complex function

Expressing $G_{m,m+1}^{m+1,0}\left(x\middle| \begin{array}{c}1,\cdots,1 \\0,0,\cdots,0\\\end{array}\right)$ as a power series.

How does the fact that every integral around a toy contour vanishes imply that the function is holomorphic?

Compute the integral $I=\int_\gamma f(z)\, dz$, where $f(z)=\frac{e^{z^2}}{z^2-6z}$ and $\gamma=\{z:|z-2|=3\}$.

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