Question

On the meaning of multiple-valued functions

score 95 · Answer 1 · 2023-07-02 19:19:01

95

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On the meaning of multiple-valued functions

Published on 02 Jul 2023 - 19:19

score 440 · Answer 2 · 2026-03-25 06:40:59

440

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Is the textbook WRONG on the branch cut?

Published on 25 Mar 2026 - 6:40

score 67 · Answer 3 · 2023-07-10 15:59:15

67

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Complex analysis, Ian Stewart Exercise 4.7.5: Proving $\sqrt{z}$ is continuous on $\mathbb{C}\setminus\{x\leq0\}$

Published on 10 Jul 2023 - 15:59

score 28 · Answer 4 · 2023-07-16 19:44:59

28

Views

Making sense of rational powers of the $j$-invariant

Published on 16 Jul 2023 - 19:44

score 23 · Answer 5 · 2023-07-25 07:59:09

23

Views

Cuts and discontinuities of multivalued complex functions with several variables

Published on 25 Jul 2023 - 7:59

score 83 · Answer 6 · 2023-07-27 17:31:35

83

Views

Evaluating $\oint\frac{dw}{(w-w_+)(w-w_-)} $ over the unit circle, where $w_\pm=z\pm\sqrt{z^2-1}$ and $z\in\Bbb{C}$ with $|w_+|\neq|w_-|$

Published on 27 Jul 2023 - 17:31

score 96 · Answer 7 · 2026-03-25 06:35:44

96

Views

Writing $(-z)^\alpha$ in terms of $z^\alpha$

Published on 25 Mar 2026 - 6:35

score 180 · Answer 8 · 2023-08-10 18:41:49

180

Views

Stuck on (simple looking!) discontinuous double integral with gaussian weight and double pole

Published on 10 Aug 2023 - 18:41

score 121 · Answer 9 · 2023-08-12 12:03:24

121

Views

Seemingly paradoxical logarithm manipulations inside strange gaussian like double integral

Published on 12 Aug 2023 - 12:03

score 28 · Answer 10 · 2023-08-13 08:50:51

28

Views

Branch cut of a Hypergeometric Function

Published on 13 Aug 2023 - 8:50

score 37 · Answer 11 · 2023-08-16 13:23:17

37

Views

Construct a branch of $\sqrt{\log{z}}$ on the upper half-plane ${z\in C:Im(z)\geq0}$. Justify your answer

Published on 16 Aug 2023 - 13:23

score 177 · Answer 12 · 2026-03-25 06:34:34

177

Views

Branch cuts for $\sqrt{z(z-1)}$

Published on 25 Mar 2026 - 6:34

score 176 · Answer 13 · 2023-09-10 05:17:13

176

Views

clarification on Riemann surfaces and branch cuts

Published on 10 Sep 2023 - 5:17

score 96 · Answer 14 · 2023-09-11 19:44:10

96

Views

Branches of $\sqrt{z}$ when removing the negative real axis

Published on 11 Sep 2023 - 19:44

score 79 · Answer 15 · 2026-03-25 14:27:11

79

Views

Understanding the function $f(z) = \left(\frac{z}{z + x_0} \right)^{\kappa}$

Published on 25 Mar 2026 - 14:27

List Question

On the meaning of multiple-valued functions

Is the textbook WRONG on the branch cut?

Complex analysis, Ian Stewart Exercise 4.7.5: Proving $\sqrt{z}$ is continuous on $\mathbb{C}\setminus\{x\leq0\}$

Making sense of rational powers of the $j$-invariant

Cuts and discontinuities of multivalued complex functions with several variables

Evaluating $\oint\frac{dw}{(w-w_+)(w-w_-)} $ over the unit circle, where $w_\pm=z\pm\sqrt{z^2-1}$ and $z\in\Bbb{C}$ with $|w_+|\neq|w_-|$

Writing $(-z)^\alpha$ in terms of $z^\alpha$

Stuck on (simple looking!) discontinuous double integral with gaussian weight and double pole

Seemingly paradoxical logarithm manipulations inside strange gaussian like double integral

Branch cut of a Hypergeometric Function

Construct a branch of $\sqrt{\log{z}}$ on the upper half-plane ${z\in C:Im(z)\geq0}$. Justify your answer

Branch cuts for $\sqrt{z(z-1)}$

clarification on Riemann surfaces and branch cuts

Branches of $\sqrt{z}$ when removing the negative real axis

Understanding the function $f(z) = \left(\frac{z}{z + x_0} \right)^{\kappa}$

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