List questions from branch-points

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Is $z=\infty$ a branch point of $f(z)=(z^{2}+1)^{1/2}$?

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Investigate the possible branch cuts to $\frac{d}{dz}\arcsin(z)=\frac{1}{(1-z^{2})^{1/2}}$.

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How to check if a primitive has a branch point

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List Question

Integral with 4 branch points

Interesting problem complex analysis

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

Do derivatives of every function at a branch point eventually become infinite?

Integral with the branch points

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

Branch points and Branch cuts

Analyzing the branch point structure of $f(z) = \ln\left(5 + \sqrt{\frac{z + 1}{z - 1}}\right)$

Keyhole Contour with Square Root Branch Cut on Imaginary Axis

Improper integral of $\frac{\log\left(\sqrt{x^2+a^2}\right)}{x^2+b^2}$

Branch point of log(z)

Branch points of $z^\frac{1}{2} (z-1)^\frac{1}{2}$ and $z^\frac{1}{3} (z-1)^\frac{1}{3}$

Is $z=\infty$ a branch point of $f(z)=(z^{2}+1)^{1/2}$?

Investigate the possible branch cuts to $\frac{d}{dz}\arcsin(z)=\frac{1}{(1-z^{2})^{1/2}}$.

How to check if a primitive has a branch point

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