List questions from branch-cuts

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How to solve this integral with contour integration $\int ^{\infty }_{0}\frac{\ln( x)}{( x+1)^{\alpha}}\,dx$

Published on 10 May 2026 - 17:16

2.1k

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Finding the branch points of $\log(z^2-1)$

Published on 10 May 2026 - 16:11

126

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Branch cuts of complex logarithm for Friedel oscillation

Published on 10 May 2026 - 19:35

35

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Heterodox asymptotics for the square root at the origin

Published on 25 Mar 2026 - 9:50

219

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Why $\log(1/z) = -\log(z)$ is true for $- \pi < \arg(z) < \pi $ and it's false for $0 < \arg(z) < 2 \pi$?

Published on 25 Mar 2026 - 9:49

326

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Integral involving a Multi-Valued function

Published on 25 Mar 2026 - 9:44

106

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Branch of incomplete gamma function

Published on 25 Mar 2026 - 9:48

167

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Integrating a function with two branch point $ {\int_{1}^\infty} \frac{dx}{{x(x^2-1)}^{1/2}} $

Published on 10 May 2026 - 19:35

68

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Branch Cut/s for $f(z)=\operatorname{Log}(\frac{1}{z(z-1)})$

Published on 25 Mar 2026 - 11:20

2.2k

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Branch cut of $\sqrt{z^2-1}$.

Published on 25 Mar 2026 - 9:49

47

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Weierstrass-type factorization (reconstruction) of a function with branch cuts

Published on 10 May 2026 - 20:33

41

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Integral with two branch cuts

Published on 25 Mar 2026 - 9:46

90

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Different branchs of $w^{1/3}$

Published on 25 Mar 2026 - 11:33

265

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What happens when integrating a function of which poles appear on the branch cut

Published on 25 Mar 2026 - 9:53

112

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Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

Published on 25 Mar 2026 - 9:53

List Question

How to solve this integral with contour integration $\int ^{\infty }_{0}\frac{\ln( x)}{( x+1)^{\alpha}}\,dx$

Finding the branch points of $\log(z^2-1)$

Branch cuts of complex logarithm for Friedel oscillation

Heterodox asymptotics for the square root at the origin

Why $\log(1/z) = -\log(z)$ is true for $- \pi < \arg(z) < \pi $ and it's false for $0 < \arg(z) < 2 \pi$?

Integral involving a Multi-Valued function

Branch of incomplete gamma function

Integrating a function with two branch point $ {\int_{1}^\infty} \frac{dx}{{x(x^2-1)}^{1/2}} $

Branch Cut/s for $f(z)=\operatorname{Log}(\frac{1}{z(z-1)})$

Branch cut of $\sqrt{z^2-1}$.

Weierstrass-type factorization (reconstruction) of a function with branch cuts

Integral with two branch cuts

Different branchs of $w^{1/3}$

What happens when integrating a function of which poles appear on the branch cut

Evaluating the integral $\int^{\infty}_{-\infty} \frac{dx}{x^4-2\cos(2\theta)x^2 +1}$

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