List questions from complex-integration

Published on 25 Jun 2015 - 9:37

468

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Translated complex gaussian-type integral: $\int_0^{\infty} \exp(i(t-\alpha)^2) dt$

Published on 27 Jun 2015 - 21:41

48

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Show the integration with a complex variable

Published on 29 Jun 2015 - 7:39

62

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Solving $\frac{df}{dt}=\frac{i\cdot f}{|f|}$ where $f: \mathbb{R^+} \mapsto \mathbb{C}$

Published on 29 Jun 2015 - 11:19

147

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Complex integral with Fourier

Published on 01 Apr 2026 - 3:39

163

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Verifying the complex integral: $\int_0^{\infty}\frac{\cos{ax}}{1+x^4}dx$

Published on 02 Jul 2015 - 4:37

329

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Integration along a keyhole

Published on 05 Jul 2015 - 11:30

117

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How to calculate this residue which has a pole of order n-r?

Published on 05 Jul 2015 - 17:33

519

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Using The Riemann Zeta Functional Equation

Published on 25 Mar 2026 - 21:46

38

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Complex integral difficulty

Published on 10 Jul 2015 - 13:24

86

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Contour integration of logarithm: $g(\omega) \log[1 - \chi(q,\omega)]$

Published on 10 Jul 2015 - 13:31

464

Views

Integrate along the vertical strip

Published on 12 Jul 2015 - 9:29

167

Views

Evaluating: $\int_{-\infty}^{\infty}{\frac{1}{\cosh(kx)}dx}$

Published on 16 Jul 2015 - 4:21

177

Views

Integrals of the type $f'(z)/f(z)$

Published on 16 Jul 2015 - 4:42

32

Views

Problem in computing complex integrals for fourier transform

Published on 31 Mar 2026 - 21:54

List Question

Integral with complex variable

Translated complex gaussian-type integral: $\int_0^{\infty} \exp(i(t-\alpha)^2) dt$

Show the integration with a complex variable

Solving $\frac{df}{dt}=\frac{i\cdot f}{|f|}$ where $f: \mathbb{R^+} \mapsto \mathbb{C}$

Complex integral with Fourier

Verifying the complex integral: $\int_0^{\infty}\frac{\cos{ax}}{1+x^4}dx$

Integration along a keyhole

How to calculate this residue which has a pole of order n-r?

Using The Riemann Zeta Functional Equation

Complex integral difficulty

Contour integration of logarithm: $g(\omega) \log[1 - \chi(q,\omega)]$

Integrate along the vertical strip

Evaluating: $\int_{-\infty}^{\infty}{\frac{1}{\cosh(kx)}dx}$

Integrals of the type $f'(z)/f(z)$

Problem in computing complex integrals for fourier transform

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