List questions from residue-calculus

Published on 25 Mar 2026 - 23:05

58

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Specific contour integral around essential singularity

Published on 21 May 2018 - 17:46

86

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Determine all possible values of $\int_\limits{\gamma} \sin(\frac{1-z}{z})dz$

Published on 21 May 2018 - 19:28

236

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Residue theorem and incomplete Gamma functions

Published on 25 Mar 2026 - 18:46

194

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Evaluating $\oint_{|z|=2} \frac{\log{(z-\alpha)}}{z}-\frac{\log z}z \, \mathrm dz$

Published on 25 Mar 2026 - 23:22

758

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Prove that $\int\limits_{-\infty}^{\infty} \frac{e^{-x}}{1+e^{-2\pi x}}\,dx=\frac1{2\sin\left(\frac{1}{2}\right)}$

Published on 25 Mar 2026 - 20:15

57

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Singularities. Residues

Published on 25 Mar 2026 - 1:31

2.5k

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Calculating residues of complex functions

Published on 01 Jun 2018 - 13:00

73

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Where did I go wrong in my residue theorem?

Published on 01 Jun 2018 - 13:11

97

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Calculate $\int_{- \infty}^{\infty} \frac{\sin \omega x}{x} dx$ for $\omega$ real and positive

Published on 01 Jun 2018 - 15:45

388

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Calculating integrals using the residue theorem

Published on 02 Jun 2018 - 10:32

37

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Calculating complex integral using the residue theorem

Published on 02 Jun 2018 - 10:45

882

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Find the Fourier transform of the following function $\frac{1}{x^2-2x+10}$

Published on 26 Mar 2026 - 12:37

57

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Finding the residue of function $\frac {\sin z}{z^2}$

Published on 02 Jun 2018 - 17:33

113

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Trigonometric integral using residues

Published on 03 Jun 2018 - 6:27

List Question

Prove the value of this complex integral...

Specific contour integral around essential singularity

Determine all possible values of $\int_\limits{\gamma} \sin(\frac{1-z}{z})dz$

Residue theorem and incomplete Gamma functions

Evaluating $\oint_{|z|=2} \frac{\log{(z-\alpha)}}{z}-\frac{\log z}z \, \mathrm dz$

Prove that $\int\limits_{-\infty}^{\infty} \frac{e^{-x}}{1+e^{-2\pi x}}\,dx=\frac1{2\sin\left(\frac{1}{2}\right)}$

Singularities. Residues

Calculating residues of complex functions

Where did I go wrong in my residue theorem?

Calculate $\int_{- \infty}^{\infty} \frac{\sin \omega x}{x} dx$ for $\omega$ real and positive

Calculating integrals using the residue theorem

Calculating complex integral using the residue theorem

Find the Fourier transform of the following function $\frac{1}{x^2-2x+10}$

Finding the residue of function $\frac {\sin z}{z^2}$

Trigonometric integral using residues

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