List questions from contour-integration

Published on 27 Mar 2026 - 18:19

105

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$ \int_\gamma e^{\frac{1}{z^2-1}}\sin{(\pi z)}dz $ on a closed curve of index $N$ with respect to the point $1$.

Published on 28 Mar 2026 - 22:29

173

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integration with 4 branch point

Published on 25 Mar 2026 - 5:11

1.2k

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Scary contour integral, but is also an integral representation for $\Gamma$-function

Published on 28 Mar 2026 - 12:48

32

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Estimate of line integral of O(x^n) function

Published on 06 Aug 2014 - 17:00

239

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Complex Numbers - Finding Roots

Published on 10 Aug 2014 - 12:41

160

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Integrating $e^{a/x^2-x^2}/(1-e^{b/x^2})$

Published on 13 Aug 2014 - 12:56

61

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Contour expression explanation

Published on 28 Mar 2026 - 15:10

190

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Contour Integration Confusion

Published on 14 Aug 2014 - 11:04

53

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Prove that $ \frac{1}{2\pi i}\int_{C_r}\frac{e^{\lambda t}}{\lambda^{k+1}}d\lambda =\frac{t^k}{k!}$

Published on 14 Aug 2014 - 13:22

48

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Geometric explanation of a contour's image

Published on 28 Mar 2026 - 8:49

70

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Calculation of a Contour Integral

Published on 14 Aug 2014 - 19:05

45

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Problem in showing that contours $\gamma_2$ is equivalent to $ \gamma $

Published on 26 Mar 2026 - 2:58

147

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Is this Integral Calculation correct? $\int_{|z|=1}(z^2+2z)^{-1}dz=\pi i$

Published on 15 Aug 2014 - 19:00

211

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Can $\frac1{z^2}$ be integrated on $|z+i|=\frac32$ using Cauchy's theorem?

Published on 15 Aug 2014 - 21:47

List Question

Writing the floor function as a contour integral

$ \int_\gamma e^{\frac{1}{z^2-1}}\sin{(\pi z)}dz $ on a closed curve of index $N$ with respect to the point $1$.

integration with 4 branch point

Scary contour integral, but is also an integral representation for $\Gamma$-function

Estimate of line integral of O(x^n) function

Complex Numbers - Finding Roots

Integrating $e^{a/x^2-x^2}/(1-e^{b/x^2})$

Contour expression explanation

Contour Integration Confusion

Prove that $ \frac{1}{2\pi i}\int_{C_r}\frac{e^{\lambda t}}{\lambda^{k+1}}d\lambda =\frac{t^k}{k!}$

Geometric explanation of a contour's image

Calculation of a Contour Integral

Problem in showing that contours $\gamma_2$ is equivalent to $ \gamma $

Is this Integral Calculation correct? $\int_{|z|=1}(z^2+2z)^{-1}dz=\pi i$

Can $\frac1{z^2}$ be integrated on $|z+i|=\frac32$ using Cauchy's theorem?

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