List questions from complex-integration

Published on 01 Apr 2026 - 22:14

147

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Complex integration with a $\mathcal{C}^1$ function $f$

Published on 15 Sep 2017 - 17:33

35

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Is this approach correct? Complex Analysis and Integration

Published on 17 Sep 2017 - 8:36

26

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Convergnece for integral on a complex Hilbert

Published on 28 Mar 2026 - 1:46

774

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Defining Complex logarithm with integral

Published on 22 Sep 2017 - 14:25

468

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Integrals in Plane Wave basis: $ \int_{-\infty}^{\infty} x^2 e^{ikx} \, dx $

Published on 29 Mar 2026 - 2:34

1.1k

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Half-range Fourier transform of $e^{-ixt}$

Published on 26 Mar 2026 - 6:19

330

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$\int_{[0,x]}e^{iz}dz$ and $|e^{ix}-1|\leq |x|$

Published on 26 Sep 2017 - 14:04

212

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Prove the integral $\int_{C_a} f(z) ~e^{iz}~\mathrm{d}z$ converges to $0$ when $a\to\infty$

Published on 28 Sep 2017 - 1:55

413

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Evaluate $\int_c z^2\ dz$, where the curve $c$ is the line $x^2+y^2=\tan^{-1}(x,y)$

Published on 29 Mar 2026 - 18:36

293

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Estimate the integral $\frac{1}{2\pi i}\int\frac{-e^{-z}+1}{1+ze^{-z}-\pi}\,\mathrm{d}z$

Published on 29 Mar 2026 - 17:44

771

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Finding Residue at $z=-1$ using Laurent Series

Published on 02 Apr 2026 - 10:45

169

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Evaluate the integral over the circle

Published on 04 Oct 2017 - 11:36

13.7k

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Fourier transform of $f (x)=(1-|x|)\,\mathbf 1_{|x| < 1}$

Published on 05 Oct 2017 - 16:13

139

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Solution of complicated contour integral

Published on 06 Oct 2017 - 8:53

List Question

Polynomial interpolation of an analytic function

Complex integration with a $\mathcal{C}^1$ function $f$

Is this approach correct? Complex Analysis and Integration

Convergnece for integral on a complex Hilbert

Defining Complex logarithm with integral

Integrals in Plane Wave basis: $ \int_{-\infty}^{\infty} x^2 e^{ikx} \, dx $

Half-range Fourier transform of $e^{-ixt}$

$\int_{[0,x]}e^{iz}dz$ and $|e^{ix}-1|\leq |x|$

Prove the integral $\int_{C_a} f(z) ~e^{iz}~\mathrm{d}z$ converges to $0$ when $a\to\infty$

Evaluate $\int_c z^2\ dz$, where the curve $c$ is the line $x^2+y^2=\tan^{-1}(x,y)$

Estimate the integral $\frac{1}{2\pi i}\int\frac{-e^{-z}+1}{1+ze^{-z}-\pi}\,\mathrm{d}z$

Finding Residue at $z=-1$ using Laurent Series

Evaluate the integral over the circle

Fourier transform of $f (x)=(1-|x|)\,\mathbf 1_{|x| < 1}$

Solution of complicated contour integral

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