List questions from branch-cuts

Published on 27 Jul 2022 - 6:31

52

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Computing with a definite branch of square root

Published on 11 Aug 2022 - 10:38

118

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Contour solving $\int^{\infty}_0\frac{x^n}{1+x^m}$ for $1<m<2$ is not supposed to work but it does

Published on 16 Aug 2022 - 1:42

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Complex integral different answers for different branch cuts

Published on 25 Mar 2026 - 19:24

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Finding branch cut of special function

Published on 26 Mar 2026 - 4:29

89

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Prove there exists a branch of logarithm on $\Omega$

Published on 03 Nov 2022 - 1:13

339

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Analytic continuation of the function $\sqrt{z^2 + 1}$ with the principal branch of the square root

Published on 07 Nov 2022 - 17:07

77

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Branch cut of the function log(z + i).

Published on 11 Nov 2022 - 10:13

26

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Determine complex exponent to make multi-valued function negative

Published on 26 Mar 2026 - 4:28

524

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Using complex analysis, prove $\int\limits_0^\infty \frac{\log(x) \arctan(x)}{1 + x^2} \, dx = \frac78 \zeta(3)$

Published on 27 Nov 2022 - 8:59

103

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Branch Cut related confusion

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78

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Integral of $\frac{1}{z^2+1}$ along a ray in the complex plane

Published on 13 Dec 2022 - 23:24

318

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Analytic branch of the complex logarithm in the logarithmic spiral branch cut

Published on 27 Dec 2022 - 18:13

185

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Define a branch cut of the argument depending on z

Published on 29 Dec 2022 - 18:57

71

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Improper Integral with Fourth Root in the integrand

Published on 11 Jan 2023 - 16:28

List Question

Branch cut confusion for $\ln(1+\sqrt{1-z^2})-\sqrt{1-z^2}$

Computing with a definite branch of square root

Contour solving $\int^{\infty}_0\frac{x^n}{1+x^m}$ for $1<m<2$ is not supposed to work but it does

Complex integral different answers for different branch cuts

Finding branch cut of special function

Prove there exists a branch of logarithm on $\Omega$

Analytic continuation of the function $\sqrt{z^2 + 1}$ with the principal branch of the square root

Branch cut of the function log(z + i).

Determine complex exponent to make multi-valued function negative

Using complex analysis, prove $\int\limits_0^\infty \frac{\log(x) \arctan(x)}{1 + x^2} \, dx = \frac78 \zeta(3)$

Branch Cut related confusion

Integral of $\frac{1}{z^2+1}$ along a ray in the complex plane

Analytic branch of the complex logarithm in the logarithmic spiral branch cut

Define a branch cut of the argument depending on z

Improper Integral with Fourth Root in the integrand

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