List questions from branch-cuts

Published on 25 Feb 2023 - 11:48

65

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Evaluate $\int_{-\infty}^{+\infty}\frac{1}{\sqrt{x^2+1}}\cdot\frac{1}{e^{\beta\sqrt{x^2+1}}+1}dx$ using contour integration with branch cuts

Published on 25 Feb 2023 - 16:14

62

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Branch points of $\sqrt{\cos(z)}$.

Published on 25 Mar 2026 - 6:34

125

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Differential form $\sqrt{z}dz$ does not transform uniquely?

Published on 09 Mar 2023 - 22:25

76

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Branch cut/ points for square roots inside cubic roots- incorrect branching by mathematica or my mistake?

Published on 25 Mar 2026 - 6:34

154

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what are the branch points and branches of $g(z)=(z+ \sqrt{z})^{1/3}$?

Published on 25 Mar 2026 - 6:34

113

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Branch cuts with multiple branch points

Published on 02 Apr 2023 - 19:10

48

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Evaluating roots of complex-valued functions

Published on 25 Mar 2026 - 7:52

63

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

Published on 03 May 2023 - 17:34

49

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Limiting values of branched functions

Published on 04 May 2023 - 19:05

62

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How do I evaluate $\int \frac{x^a}{(x + 1)^2}$ over $\mathbb{R}^+$

Published on 09 May 2023 - 16:24

81

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moving the branch cut in an inverse Laplace transform

Published on 13 May 2023 - 4:54

76

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Why does this show Log can't be extended to whole $\mathbb{C}^*$

Published on 10 Jun 2023 - 22:20

83

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Approaching the branch cut and the limit of $f(x+iy)$ when $y\to0+$

Published on 25 Mar 2026 - 6:34

75

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Find the analiticity domain of a complex function

Published on 21 Jun 2023 - 13:32

List Question

$\int_a^b \frac{(x-a)^p(b-x)^{1-p}}{\text{P}(x)} dx$ using contour integration and residue theorem

Evaluate $\int_{-\infty}^{+\infty}\frac{1}{\sqrt{x^2+1}}\cdot\frac{1}{e^{\beta\sqrt{x^2+1}}+1}dx$ using contour integration with branch cuts

Branch points of $\sqrt{\cos(z)}$.

Differential form $\sqrt{z}dz$ does not transform uniquely?

Branch cut/ points for square roots inside cubic roots- incorrect branching by mathematica or my mistake?

what are the branch points and branches of $g(z)=(z+ \sqrt{z})^{1/3}$?

Branch cuts with multiple branch points

Evaluating roots of complex-valued functions

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

Limiting values of branched functions

How do I evaluate $\int \frac{x^a}{(x + 1)^2}$ over $\mathbb{R}^+$

moving the branch cut in an inverse Laplace transform

Why does this show Log can't be extended to whole $\mathbb{C}^*$

Approaching the branch cut and the limit of $f(x+iy)$ when $y\to0+$

Find the analiticity domain of a complex function

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