Question

Demonstrate equality (cotangent)

score 29 · Answer 1 · 2026-04-13 14:14:42

29

Views

Demonstrate equality (cotangent)

Published on 13 Apr 2026 - 14:14

score 385 · Answer 2 · 2026-04-10 23:16:16

385

Views

Argument principle for Riemann surfaces

Published on 10 Apr 2026 - 23:16

score 109 · Answer 3 · 2026-04-22 07:03:02

109

Views

A simple question on the CR equations

Published on 22 Apr 2026 - 7:03

score 55 · Answer 4 · 2026-04-13 01:57:31

55

Views

Identify $\mathbb R^4$ with the quaternionic field $\mathbb H$

Published on 13 Apr 2026 - 1:57

score 87 · Answer 5 · 2026-04-16 09:20:48

87

Views

Radius of Convergence and Endpoints of Complex Power Series

Published on 16 Apr 2026 - 9:20

score 47 · Answer 6 · 2026-04-13 22:12:37

47

Views

analytic function from the unit disk onto $\{z: \vert z \vert >1\}$ which is not bijection

Published on 13 Apr 2026 - 22:12

score 290 · Answer 7 · 2026-04-17 11:58:12

290

Views

Evaluate$\int_0^\infty \frac{\log(x)^2}{(1+x)^2}dx$

Published on 17 Apr 2026 - 11:58

score 63 · Answer 8 · 2026-04-17 15:29:23

63

Views

How can $|z_1-z_2|^2 = |z_1^2+z_2^2-2z_1z_2| $?

Published on 17 Apr 2026 - 15:29

score 38 · Answer 9 · 2026-04-14 15:25:15

38

Views

Is a complex function continuous at a point if and only if it is entire?

Published on 14 Apr 2026 - 15:25

score 705 · Answer 10 · 2026-03-25 01:18:46

705

Views

What are the roots of the equation $z^{40} - z^{20} - a(a+1)$?

Published on 25 Mar 2026 - 1:18

score 635 · Answer 11 · 2026-04-22 12:06:14

635

Views

Derivative of $f(z) = z \bar{z}$ using limit definition

Published on 22 Apr 2026 - 12:06

score 44 · Answer 12 · 2026-04-15 20:02:03

44

Views

Can you solve the integral $\int_{\mathbb{R}} e^{i\omega t}\dfrac{1}{(\omega-i\epsilon)^2 - m^2} d\omega$ using residues?

Published on 15 Apr 2026 - 20:02

score 127 · Answer 13 · 2026-04-16 06:05:24

Show that a holomorph function $f:\mathbb{C}^{\times}\rightarrow\mathbb{C} $ doesn't exist which satisfies $f(z)^n=z$ for $n\in\mathbb{N}, n\gt1$.

score 185 · Answer 14 · 2026-04-11 10:05:36

185

Views

Making a Fourier transformation of a divided function

Published on 11 Apr 2026 - 10:05

score 51 · Answer 15 · 2026-04-08 21:28:05

51

Views

How do I solve this complex numbers question?

Published on 08 Apr 2026 - 21:28

List Question

Demonstrate equality (cotangent)

Argument principle for Riemann surfaces

A simple question on the CR equations

Identify $\mathbb R^4$ with the quaternionic field $\mathbb H$

Radius of Convergence and Endpoints of Complex Power Series

analytic function from the unit disk onto $\{z: \vert z \vert >1\}$ which is not bijection

Evaluate$\int_0^\infty \frac{\log(x)^2}{(1+x)^2}dx$

How can $|z_1-z_2|^2 = |z_1^2+z_2^2-2z_1z_2| $?

Is a complex function continuous at a point if and only if it is entire?

What are the roots of the equation $z^{40} - z^{20} - a(a+1)$?

Derivative of $f(z) = z \bar{z}$ using limit definition

Can you solve the integral $\int_{\mathbb{R}} e^{i\omega t}\dfrac{1}{(\omega-i\epsilon)^2 - m^2} d\omega$ using residues?

Show that a holomorph function $f:\mathbb{C}^{\times}\rightarrow\mathbb{C} $ doesn't exist which satisfies $f(z)^n=z$ for $n\in\mathbb{N}, n\gt1$.

Making a Fourier transformation of a divided function

How do I solve this complex numbers question?

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