List questions from branch-points

Published on 21 Nov 2014 - 7:17

148

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How do I solve this integral with a branch point at z =0?

Published on 08 Dec 2014 - 23:26

291

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Is this an admissible branch cut for $f(z)=\sqrt{z}+\sqrt{z-1}$?

Published on 18 Oct 2019 - 21:32

45

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Integral over circle around branch point

Published on 21 Oct 2019 - 20:11

312

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What are the branch points of the function w(z)=arctan(z)

Published on 08 Nov 2019 - 15:56

97

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Branch point versus points along branch cut

Published on 19 Nov 2019 - 23:06

56

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How to integrate $\frac{1}{z^{1/2}}$ with respect to complex variable $z$?

Published on 21 Nov 2019 - 5:16

111

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Integrand with branch point

Published on 02 Dec 2019 - 10:04

140

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Prove $[z^{1/2}]$ has no holomorphic branch on any open ball $B(0,R)$

Published on 20 Dec 2019 - 22:24

96

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Branch cuts of $f(z)=\frac{1}{\sqrt{1+z^4}}$

Published on 02 Jan 2020 - 3:48

766

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Branch points of $f(z)= \frac{\sqrt{z} \log(z)}{(1+z)^2}$

Published on 10 Jan 2020 - 13:21

189

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Why is it the case that infinity is also a branch point for log

Published on 15 Jan 2020 - 11:24

437

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How to solve this integral with contour integration $\int ^{\infty }_{0}\frac{\ln( x)}{( x+1)^{\alpha}}\,dx$

Published on 23 Jan 2020 - 14:32

2.1k

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Finding the branch points of $\log(z^2-1)$

Published on 08 Feb 2020 - 23:46

142

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Why is this not a logarithmic branch point?

Published on 15 Feb 2020 - 18:02

List Question

Showing $1$ is not a branch point for $f(z) = z^2$?

How do I solve this integral with a branch point at z =0?

Is this an admissible branch cut for $f(z)=\sqrt{z}+\sqrt{z-1}$?

Integral over circle around branch point

What are the branch points of the function w(z)=arctan(z)

Branch point versus points along branch cut

How to integrate $\frac{1}{z^{1/2}}$ with respect to complex variable $z$?

Integrand with branch point

Prove $[z^{1/2}]$ has no holomorphic branch on any open ball $B(0,R)$

Branch cuts of $f(z)=\frac{1}{\sqrt{1+z^4}}$

Branch points of $f(z)= \frac{\sqrt{z} \log(z)}{(1+z)^2}$

Why is it the case that infinity is also a branch point for log

How to solve this integral with contour integration $\int ^{\infty }_{0}\frac{\ln( x)}{( x+1)^{\alpha}}\,dx$

Finding the branch points of $\log(z^2-1)$

Why is this not a logarithmic branch point?

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