List questions from branch-cuts

Published on 14 Dec 2015 - 19:49

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Contour integral of $\sqrt{z^{2}+a^{2}}$

Published on 14 Dec 2015 - 20:34

459

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Identity for the derivative of an arbitrary branch of $z^{1 / n}$

Published on 26 Dec 2015 - 0:20

1.5k

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Contour integral with a logarithm squared: $\int_0^\infty \frac{\log^2 x \, dx}{(1+x)^2}$

Published on 27 Dec 2015 - 5:45

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Branch points and Riemann surfaces (analytic continuation),

Published on 30 Dec 2015 - 22:26

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Calculating residues of function with branch cut

Published on 03 Jan 2016 - 11:26

191

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Branch cut of $e^{iz^{1/2}}$

Published on 13 Jan 2016 - 8:55

165

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express as contour integral $ f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}} $

Published on 25 Jan 2016 - 22:37

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Branch point at infinity?

Published on 25 Mar 2026 - 14:24

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Continuity of principal complex arccos

Published on 21 Feb 2016 - 1:01

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Integrate $\int_{-\infty}^\infty\frac{e^{-ik\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}}dx$

Published on 02 Mar 2016 - 15:36

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Branch cuts to infinity

Published on 07 Mar 2016 - 17:52

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Writing $1/(X+i\epsilon)$ in terms of principal value and imaginary part

Published on 25 Mar 2026 - 23:39

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How is the principal branch of logarithm defined?

Published on 16 Mar 2016 - 15:29

102

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Integrating along a branch cut

Published on 07 Apr 2016 - 7:51

List Question

Logarithm rule for branch cut logarithms

Contour integral of $\sqrt{z^{2}+a^{2}}$

Identity for the derivative of an arbitrary branch of $z^{1 / n}$

Contour integral with a logarithm squared: $\int_0^\infty \frac{\log^2 x \, dx}{(1+x)^2}$

Branch points and Riemann surfaces (analytic continuation),

Calculating residues of function with branch cut

Branch cut of $e^{iz^{1/2}}$

express as contour integral $ f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}} $

Branch point at infinity?

Continuity of principal complex arccos

Integrate $\int_{-\infty}^\infty\frac{e^{-ik\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}}dx$

Branch cuts to infinity

Writing $1/(X+i\epsilon)$ in terms of principal value and imaginary part

How is the principal branch of logarithm defined?

Integrating along a branch cut

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