List questions from branch-cuts

Published on 23 Feb 2026 - 1:51

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Evaluate $\int_{-\infty}^\infty \frac{1}{\sqrt{z^2 + 1}}\frac{1}{z - \alpha} dz$.

Published on 10 Dec 2018 - 18:11

641

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Finding Laurent Series using Binomial Theorem - HOW?

Published on 24 Dec 2018 - 22:10

45

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B&B and simplex algorithm

Published on 07 Jan 2019 - 17:27

257

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Finding a continuous branch of $F(z)=\sqrt{\frac{(z^2-1)(z-2)}{z}}$

Published on 01 Feb 2019 - 5:00

118

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Why is $z=1$ not a branch point of the function $w=f(z)=z^{1/2}$?

Published on 24 Mar 2026 - 22:07

248

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Distinct minimum spanning tree

Published on 13 Feb 2019 - 11:06

40

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Is a multivalued function analytic over its branch cut?

Published on 02 Mar 2019 - 21:40

88

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Does there exist a branch of $(a^2 - z^2)^{1/2}$ holomorphic on $\mathbb{C}\setminus [-a,a]$?

Published on 24 Mar 2026 - 22:01

49

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Branch cut of $\int_0^{\infty} \frac{x^{s-1}}{1+x}$

Published on 21 Mar 2019 - 17:23

1.9k

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Branch cuts for $(z^2+1)^{1/3}$

Published on 24 Mar 2026 - 22:01

439

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Discontinuity of Hypergeometric function along the branch cut

Published on 09 Apr 2019 - 18:24

307

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$\int_{0}^{\infty} \ln{(1+a x)}{x^{-b-1}} dx$ difficult integral with two branch cuts

Published on 24 Mar 2026 - 22:01

219

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Find a branch cut where $f(z)=\log_{\tau}(z^3 - 2)$ is holomorphic at $z=0$

Published on 10 May 2019 - 20:06

66

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Why is it that $ \ln(1) = 0 $ but $ e^{(i2\pi)}=1$?

Published on 13 May 2019 - 14:58

List Question

Inverse Laplace transform of Gamma with branch cut

Evaluate $\int_{-\infty}^\infty \frac{1}{\sqrt{z^2 + 1}}\frac{1}{z - \alpha} dz$.

Finding Laurent Series using Binomial Theorem - HOW?

B&B and simplex algorithm

Finding a continuous branch of $F(z)=\sqrt{\frac{(z^2-1)(z-2)}{z}}$

Why is $z=1$ not a branch point of the function $w=f(z)=z^{1/2}$?

Distinct minimum spanning tree

Is a multivalued function analytic over its branch cut?

Does there exist a branch of $(a^2 - z^2)^{1/2}$ holomorphic on $\mathbb{C}\setminus [-a,a]$?

Branch cut of $\int_0^{\infty} \frac{x^{s-1}}{1+x}$

Branch cuts for $(z^2+1)^{1/3}$

Discontinuity of Hypergeometric function along the branch cut

$\int_{0}^{\infty} \ln{(1+a x)}{x^{-b-1}} dx$ difficult integral with two branch cuts

Find a branch cut where $f(z)=\log_{\tau}(z^3 - 2)$ is holomorphic at $z=0$

Why is it that $ \ln(1) = 0 $ but $ e^{(i2\pi)}=1$?

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