List questions from contour-integration

Published on 28 Mar 2026 - 8:28

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Convergence of a line integral along semi-circular arc

Published on 31 Mar 2014 - 13:32

316

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Integral $\int_0^\infty e^{imx^2}dx$

Published on 30 Mar 2026 - 0:18

377

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Three questions concerning holomorphic functions defined by contour integrals

Published on 01 Apr 2014 - 19:16

323

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Problem with Cauchy integrals

Published on 02 Apr 2014 - 15:55

108

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Find the countour integral of $\int_{γ} \sqrt{z} dz$ where $γ=C(2,1)^+$ or $γ=C(1,1)^{+}$ or $γ=C(0,1)^{+}$

Published on 03 Apr 2014 - 10:21

418

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Complex Analysis - Contour Integration

Published on 03 Apr 2014 - 12:59

521

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How does the integral $\int_{D_C} e^{ia z}P(z)/Q(z)\,\mathrm{d}z$ blow up.

Published on 03 Apr 2014 - 13:04

295

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Shifted integral for a Bessel Function

Published on 28 Mar 2026 - 4:52

755

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Gamma Function Contour Integration

Published on 28 Mar 2026 - 2:41

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Hilbert Transform of cos wt = sinwt.

Published on 05 Apr 2014 - 4:13

1.6k

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Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.

Published on 28 Mar 2026 - 4:53

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Integral $ \int_{-\pi/2}^{\pi/2} \frac{1}{2007^x+1}\cdot \frac{\sin^{2008}x}{\sin^{2008}x+\cos^{2008}x}dx $

Published on 06 Apr 2014 - 1:58

427

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Integrate $ \int_0^{\phi_0} \arctan \sqrt{\frac{\cos \phi+1}{\alpha \cos \phi +\beta}}d\phi$

Published on 06 Apr 2014 - 21:20

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Showing $\int_{\gamma}f(z)dz = \int_{\gamma_1}f(z)dz + \int_{\gamma_2}f(z)dz$ with non analytic points.

Published on 07 Apr 2014 - 0:49

List Question

Ugly-nice double series

Convergence of a line integral along semi-circular arc

Integral $\int_0^\infty e^{imx^2}dx$

Three questions concerning holomorphic functions defined by contour integrals

Problem with Cauchy integrals

Find the countour integral of $\int_{γ} \sqrt{z} dz$ where $γ=C(2,1)^+$ or $γ=C(1,1)^{+}$ or $γ=C(0,1)^{+}$

Complex Analysis - Contour Integration

How does the integral $\int_{D_C} e^{ia z}P(z)/Q(z)\,\mathrm{d}z$ blow up.

Shifted integral for a Bessel Function

Gamma Function Contour Integration

Hilbert Transform of cos wt = sinwt.

Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.

Integral $ \int_{-\pi/2}^{\pi/2} \frac{1}{2007^x+1}\cdot \frac{\sin^{2008}x}{\sin^{2008}x+\cos^{2008}x}dx $

Integrate $ \int_0^{\phi_0} \arctan \sqrt{\frac{\cos \phi+1}{\alpha \cos \phi +\beta}}d\phi$

Showing $\int_{\gamma}f(z)dz = \int_{\gamma_1}f(z)dz + \int_{\gamma_2}f(z)dz$ with non analytic points.

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