Question

$e^{Log_(z^k)} = e^{kLog_(z)} $?

score 76 · Answer 1 · 2021-04-01 02:33:52

76

Views

$e^{Log_(z^k)} = e^{kLog_(z)} $?

Published on 01 Apr 2021 - 2:33

score 19 · Answer 2 · 2021-04-02 11:12:45

19

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Defining a single valued w(z) and finding w'(8i)

Published on 02 Apr 2021 - 11:12

score 128 · Answer 3 · 2026-03-25 22:05:08

128

Views

Find $\oint_{|z|=1}\log\left|\frac{1}{1+z^p}\right|\frac{dz}{z} $ where $0<p<\frac{1}{2}$

Published on 25 Mar 2026 - 22:05

score 164 · Answer 4 · 2021-04-03 19:36:09

164

Views

How misleading is it to regard $i$ as the square root of $-1$?

Published on 03 Apr 2021 - 19:36

score 64 · Answer 5 · 2026-03-26 02:53:48

64

Views

Working with branches of complex functions

Published on 26 Mar 2026 - 2:53

score 104 · Answer 6 · 2021-04-15 05:58:16

104

Views

How can I make analytic continuation across the branch cut to a function?

Published on 15 Apr 2021 - 5:58

score 46 · Answer 7 · 2021-05-05 10:38:45

46

Views

Finding the image of a point by analytic continuation of regular branch of $\sqrt{π^2 + \ln^2(z)}$ in $\mathbb{C}\backslash Γ$

Published on 05 May 2021 - 10:38

score 193 · Answer 8 · 2026-03-26 04:32:27

193

Views

Find a function that has multiple branch cuts and state why those branch cuts remove the discontinuities.

Published on 26 Mar 2026 - 4:32

score 202 · Answer 9 · 2021-05-06 20:30:21

202

Views

Branch cut of $\log(z)$ in comparison with branch cut of a function like $\sqrt{z}$

Published on 06 May 2021 - 20:30

score 644 · Answer 10 · 2021-05-08 00:06:50

644

Views

Can someone please explain why $\log\left(\frac{z-1}{z+1}\right)$ has branch points at 1 and -1

Published on 08 May 2021 - 0:06

score 140 · Answer 11 · 2026-03-26 04:34:10

140

Views

Branch cuts for $f(z)=\sqrt[3]{z^3+1}$

Published on 26 Mar 2026 - 4:34

score 290 · Answer 12 · 2026-03-26 12:34:52

290

Views

How to find principal branch of a complex multivalued function?

Published on 26 Mar 2026 - 12:34

score 145 · Answer 13 · 2026-03-26 02:53:07

145

Views

Branch cuts imaginary part

Published on 26 Mar 2026 - 2:53

score 173 · Answer 14 · 2021-07-14 05:40:14

173

Views

Evaluating $\int_{-\infty}^{\infty} \frac{z\ln(1+e^z) }{(1+z^2)^2}dz = \frac{\pi}{4}$ - how to handle branch cuts?

Published on 14 Jul 2021 - 5:40

score 395 · Answer 15 · 2021-07-15 05:30:54

395

Views

Pole lying in the middle of a logarithm's branch cut in $\int_{-\infty}^{\infty} dz \frac{\ln(a+z^2)}{1+z^2}$

Published on 15 Jul 2021 - 5:30

List Question

$e^{Log_(z^k)} = e^{kLog_(z)} $?

Defining a single valued w(z) and finding w'(8i)

Find $\oint_{|z|=1}\log\left|\frac{1}{1+z^p}\right|\frac{dz}{z} $ where $0<p<\frac{1}{2}$

How misleading is it to regard $i$ as the square root of $-1$?

Working with branches of complex functions

How can I make analytic continuation across the branch cut to a function?

Finding the image of a point by analytic continuation of regular branch of $\sqrt{π^2 + \ln^2(z)}$ in $\mathbb{C}\backslash Γ$

Find a function that has multiple branch cuts and state why those branch cuts remove the discontinuities.

Branch cut of $\log(z)$ in comparison with branch cut of a function like $\sqrt{z}$

Can someone please explain why $\log\left(\frac{z-1}{z+1}\right)$ has branch points at 1 and -1

Branch cuts for $f(z)=\sqrt[3]{z^3+1}$

How to find principal branch of a complex multivalued function?

Branch cuts imaginary part

Evaluating $\int_{-\infty}^{\infty} \frac{z\ln(1+e^z) }{(1+z^2)^2}dz = \frac{\pi}{4}$ - how to handle branch cuts?

Pole lying in the middle of a logarithm's branch cut in $\int_{-\infty}^{\infty} dz \frac{\ln(a+z^2)}{1+z^2}$

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