List questions from complex-integration

Published on 10 Dec 2017 - 3:30

38

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Find the $\int^{3+i}_0 \sin z\;dz$

Published on 10 Dec 2017 - 13:31

275

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How to finish calculating of $\int_0^{\infty}\frac{\mathrm{d}z}{z^6+1}$?

Published on 10 Dec 2017 - 13:35

140

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How to show that for $|a|<1$: $\int_0^\infty\frac{x^a}{(x+2)^2}\,dx=\frac{a\pi2^{a-1}}{\sin\pi a}$?

Published on 11 Dec 2017 - 15:46

115

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How to deal with $\int\limits_{L}z\cos(2\pi z \bar{z})\,dz$?

Published on 12 Dec 2017 - 11:53

98

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Do both of these functions define the same branch of $\sqrt{z^2 - 1}$?

Published on 26 Mar 2026 - 18:50

63

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How to evaluate the complex integral $\int\limits_0^\infty {e^{is} \over \sqrt{s}} ds$?

Published on 15 Dec 2017 - 0:59

83

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how to calculate $\int\limits_{|z| = 2} \frac{z^4dz}{z^4+1}$?

Published on 15 Dec 2017 - 14:01

129

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What does it mean to Taylor expand $1/(\ln(r) - \ln(x) + i\pi/2)$ in power of $1/\ln(x)$?

Published on 18 Dec 2017 - 17:04

419

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Normal distribution with complex mean?

Published on 19 Dec 2017 - 6:48

47

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A lemma about holomorphic functions

Published on 29 Mar 2026 - 3:44

44

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Complex Analysis - goniometric Contour Integration

Published on 02 Apr 2026 - 15:59

151

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Compute the Integral via Residue Theorem

Published on 23 Dec 2017 - 10:05

227

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integrate $\frac{1}{(z-e^{-z})}$ on upper half unit circle

Published on 24 Dec 2017 - 19:29

437

Views

Integral of rational function - which contour to use?

Published on 27 Dec 2017 - 16:02

List Question

contour integrating 1/z over unit square equal zero?

Find the $\int^{3+i}_0 \sin z\;dz$

How to finish calculating of $\int_0^{\infty}\frac{\mathrm{d}z}{z^6+1}$?

How to show that for $|a|<1$: $\int_0^\infty\frac{x^a}{(x+2)^2}\,dx=\frac{a\pi2^{a-1}}{\sin\pi a}$?

How to deal with $\int\limits_{L}z\cos(2\pi z \bar{z})\,dz$?

Do both of these functions define the same branch of $\sqrt{z^2 - 1}$?

How to evaluate the complex integral $\int\limits_0^\infty {e^{is} \over \sqrt{s}} ds$?

how to calculate $\int\limits_{|z| = 2} \frac{z^4dz}{z^4+1}$?

What does it mean to Taylor expand $1/(\ln(r) - \ln(x) + i\pi/2)$ in power of $1/\ln(x)$?

Normal distribution with complex mean?

A lemma about holomorphic functions

Complex Analysis - goniometric Contour Integration

Compute the Integral via Residue Theorem

integrate $\frac{1}{(z-e^{-z})}$ on upper half unit circle

Integral of rational function - which contour to use?

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