List questions from branch-cuts

Published on 25 Mar 2026 - 8:05

49

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Series expansion of $z^{1/3}$ at z=1

Published on 10 Jan 2024 - 11:20

32

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Radius of convergence at $2+i$ of $f_i(z)=\frac{1}{\phi_i-2^{1/4}}$ with $2^{1/4}$ being the positive real root

Published on 25 Mar 2026 - 8:13

42

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Limit of $\log(z^2-4z+3)$ with $\text{arg}\in (0,2\pi]$

Published on 14 Jan 2024 - 16:17

52

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Considerations for branches of the square root on the complex plane: a down-to-earth approach

Published on 20 Jan 2024 - 17:14

44

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What is the branch cut of composite of multivalued complex function

Published on 25 Mar 2026 - 8:09

66

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How pathological can a Laplace transform be?

Published on 27 Jan 2024 - 20:05

40

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Are both extreme values of ${\rm Arg}(z)$, $(-\pi, \pi)$, excluded in the principal branch of the complex log function?

Published on 04 Feb 2024 - 12:11

77

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Solving complex equation, multiple solutions

Published on 09 Feb 2024 - 19:47

39

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When working with multiple branch cuts, is there a way to chose the arguments so that log of a product can be opened as sum of individual logarithms?

Published on 25 Mar 2026 - 8:13

120

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Branch cut integral $\int_{-1}^1\left(1-x^2\right)^{\frac{1}{2}} d x$

Published on 27 Feb 2024 - 13:20

29

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Question About Existence Of Branch For $(z^2 -1)^{ \frac12}$.

Published on 25 Mar 2026 - 8:12

97

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Polar coordinates used to evaluate a function containing a branch cut

Published on 06 Jan 2015 - 18:12

2.2k

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Residue of function with different branch points

Published on 06 Jan 2015 - 18:29

276

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How to perform this contour integration with $\log$ in the denominator?

Published on 14 Jan 2015 - 15:38

List Question

Branch cut in integral function

Series expansion of $z^{1/3}$ at z=1

Radius of convergence at $2+i$ of $f_i(z)=\frac{1}{\phi_i-2^{1/4}}$ with $2^{1/4}$ being the positive real root

Limit of $\log(z^2-4z+3)$ with $\text{arg}\in (0,2\pi]$

Considerations for branches of the square root on the complex plane: a down-to-earth approach

What is the branch cut of composite of multivalued complex function

How pathological can a Laplace transform be?

Are both extreme values of ${\rm Arg}(z)$, $(-\pi, \pi)$, excluded in the principal branch of the complex log function?

Solving complex equation, multiple solutions

When working with multiple branch cuts, is there a way to chose the arguments so that log of a product can be opened as sum of individual logarithms?

Branch cut integral $\int_{-1}^1\left(1-x^2\right)^{\frac{1}{2}} d x$

Question About Existence Of Branch For $(z^2 -1)^{ \frac12}$.

Polar coordinates used to evaluate a function containing a branch cut

Residue of function with different branch points

How to perform this contour integration with $\log$ in the denominator?

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