List questions from branch-cuts

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The most general branch cut for logarithm

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describe Riemann surface of $f(z)=\sqrt{(z^2-1)(z^2-2)}$

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How to show the only branch cut needed is the imaginary axis.

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Lambert W called Product Log, More than 2 Branches

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Integral with 4 branch points

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Is it true that $\log(z^2-1)=\log(z-1)+\log(z+1)$ for all complex numbers?

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Integrating $\int_0^\infty \frac{\ln x}{x^{3/4}(1+x)} dx$ via branch cut

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Complex integration involving branch cut

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Computing $\int_0^\infty \frac{x^\lambda}{x+1} dx$

Published on 29 Nov 2016 - 13:27

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Integral with the branch points

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Is it true that $z^{w+1}=z^w\cdot z$ where $z,w\in \Bbb{C}$?

Published on 25 Mar 2026 - 5:07

List Question

Evaluating the closed contour integral $\int_\gamma\frac{e^{-\sqrt{z}}}{(z-b)^{k+1}}dz$

The most general branch cut for logarithm

describe Riemann surface of $f(z)=\sqrt{(z^2-1)(z^2-2)}$

How to show the only branch cut needed is the imaginary axis.

Lambert W called Product Log, More than 2 Branches

Integral with 4 branch points

Is it true that $\log(z^2-1)=\log(z-1)+\log(z+1)$ for all complex numbers?

Integrating $\int_0^\infty \frac{\ln x}{x^{3/4}(1+x)} dx$ via branch cut

Complex integration involving branch cut

Branch Cuts Rectangle

Interesting problem complex analysis

Branch cut $\frac{\ln(z+i)}{1 +z^2}$

Computing $\int_0^\infty \frac{x^\lambda}{x+1} dx$

Integral with the branch points

Is it true that $z^{w+1}=z^w\cdot z$ where $z,w\in \Bbb{C}$?

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