List questions from residue-calculus

Published on 07 Sep 2018 - 20:28

58

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Integral of $e^\left(1/z^2\right)$ around $|z|=1$ in the complex plane

Published on 26 Mar 2026 - 5:56

160

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Residue of f(z) with pole of 2nd order

Published on 09 Sep 2018 - 20:30

1.2k

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Find residue of $\cos(\frac{z}{1-z})$ at z=1.

Published on 16 Sep 2018 - 14:04

789

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Evaluating complex integral $\int_{0}^{\pi} \frac {x \sin x}{1+a^2-2a(\cos x)} $ via different contour

Published on 18 Sep 2018 - 13:48

3.6k

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How can I find the residue of this removable singularity?

Published on 26 Mar 2026 - 5:54

71

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Integral $\int\frac{\sin(2zj)}{z(z^{2}+\frac{\pi^{2}}{4})^{2}}dz = 0$ (residues)

Published on 25 Mar 2026 - 6:29

144

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Finding the integral of $\int_{0}^{2 \pi} \sin^n(x)$

Published on 21 Sep 2018 - 14:18

262

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The Fourier transform of $f(x)=(x+iy)^{-k}$. for $y>0, k>2$

Published on 23 Sep 2018 - 1:36

62

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Compute $\oint_{S^1}\frac{z}{\sin^{3}(z/2)}dz$ without using Laurent series

Published on 25 Sep 2018 - 16:16

656

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Finding $\text{Res}(f,0)$ where $f(z)=\frac{1}{z^2\sin(z)}$

Published on 26 Sep 2018 - 2:55

79

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Find the Residues of $f(z)=\frac{z(z-\pi)^2}{\sin^2(z)}$

Published on 26 Mar 2026 - 7:35

124

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Residue of $z_0=1$ for $f(z)=\frac{z^3+5}{z(z-1)^3}$

Published on 26 Mar 2026 - 7:35

698

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Solving $\int_{\Gamma}\frac{\cos(z)}{z^2(z^2+1)} \ dz$ by the Residue Theorem

Published on 27 Sep 2018 - 1:02

120

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Poles of integral $\oint_D\left(\frac{\cos(\pi z/2)}{(z^2+i)(\sin^{2}(\pi z)}\right)\,dz$

Published on 26 Mar 2026 - 4:36

List Question

Contour Integral of irrational polynomial from -1 to 1

Integral of $e^\left(1/z^2\right)$ around $|z|=1$ in the complex plane

Residue of f(z) with pole of 2nd order

Find residue of $\cos(\frac{z}{1-z})$ at z=1.

Evaluating complex integral $\int_{0}^{\pi} \frac {x \sin x}{1+a^2-2a(\cos x)} $ via different contour

How can I find the residue of this removable singularity?

Integral $\int\frac{\sin(2zj)}{z(z^{2}+\frac{\pi^{2}}{4})^{2}}dz = 0$ (residues)

Finding the integral of $\int_{0}^{2 \pi} \sin^n(x)$

The Fourier transform of $f(x)=(x+iy)^{-k}$. for $y>0, k>2$

Compute $\oint_{S^1}\frac{z}{\sin^{3}(z/2)}dz$ without using Laurent series

Finding $\text{Res}(f,0)$ where $f(z)=\frac{1}{z^2\sin(z)}$

Find the Residues of $f(z)=\frac{z(z-\pi)^2}{\sin^2(z)}$

Residue of $z_0=1$ for $f(z)=\frac{z^3+5}{z(z-1)^3}$

Solving $\int_{\Gamma}\frac{\cos(z)}{z^2(z^2+1)} \ dz$ by the Residue Theorem

Poles of integral $\oint_D\left(\frac{\cos(\pi z/2)}{(z^2+i)(\sin^{2}(\pi z)}\right)\,dz$

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