Question

Complex logarithm of a product

score 634 · Answer 1 · 2026-04-11 07:49:50

634

Views

Complex logarithm of a product

Published on 11 Apr 2026 - 7:49

score 119 · Answer 2 · 2026-04-17 08:08:59

119

Views

Proving $\int_{\Bbb R} \frac{\cos x}{(x^2+t^2)^2}dx=\frac{\pi(t+1)}{2t^3e^t}, t>0$

Published on 17 Apr 2026 - 8:08

score 60 · Answer 3 · 2026-03-26 01:00:17

60

Views

Poles and singularity confusion.

Published on 26 Mar 2026 - 1:00

score 90 · Answer 4 · 2026-04-13 05:07:01

90

Views

Proof verification related to a rotation of an operator and convexity

Published on 13 Apr 2026 - 5:07

score 64 · Answer 5 · 2026-04-17 07:55:17

64

Views

Show that the magnitude of $\psi = Ae^{i \omega t}$ is A. Prove that $e^{i \alpha}e^{i \beta} = e^{i(\alpha + \beta)}$.

Published on 17 Apr 2026 - 7:55

score 45 · Answer 6 · 2026-04-15 13:31:09

45

Views

If $x\in R$ and the roots of $ax^2+bx+c=0$ are complex, then the sign of $a^2x^2+abx+ac$ is

Published on 15 Apr 2026 - 13:31

score 591 · Answer 7 · 2026-03-25 06:05:50

591

Views

Cube root of complex numbers and treatment of cubic equations

Published on 25 Mar 2026 - 6:05

score 120 · Answer 8 · 2026-03-26 14:18:55

120

Views

Complex Function: Radius of convergence and convolutions.

Published on 26 Mar 2026 - 14:18

score 45 · Answer 9 · 2026-03-26 14:19:10

45

Views

Complex Function: Radius of convergence Pt 2: Complex Boogaloo

Published on 26 Mar 2026 - 14:19

score 227 · Answer 10 · 2026-04-13 02:33:25

227

Views

For $f(z) = z^n$ and $z=x+iy$. How do I expand this using binomial theorem?

Published on 13 Apr 2026 - 2:33

score 127 · Answer 11 · 2026-04-13 11:15:32

127

Views

Maximum value of derivative of a holomorphic function

Published on 13 Apr 2026 - 11:15

score 188 · Answer 12 · 2026-03-26 14:22:34

188

Views

Find all analytic functions $f: \mathbb{C} \longrightarrow \mathbb{C}$ such that f(3z)-f(2z)=5f(z)

Published on 26 Mar 2026 - 14:22

score 1.6k · Answer 13 · 2026-04-14 18:23:40

Let $n$ be a positive integer and a complex number with unit modulus is a solution of the equation $z^n+z+1=0$. Prove that $n $ can't be $196$.

score 38 · Answer 14 · 2026-04-11 00:36:13

38

Views

Can this equation have solutions in the upper half complex plane?

Published on 11 Apr 2026 - 0:36

score 167 · Answer 15 · 2026-04-29 19:16:15

167

Views

Sum of all powers of imaginary unit $\pmb i$

Published on 29 Apr 2026 - 19:16

List Question

Complex logarithm of a product

Proving $\int_{\Bbb R} \frac{\cos x}{(x^2+t^2)^2}dx=\frac{\pi(t+1)}{2t^3e^t}, t>0$

Poles and singularity confusion.

Proof verification related to a rotation of an operator and convexity

Show that the magnitude of $\psi = Ae^{i \omega t}$ is A. Prove that $e^{i \alpha}e^{i \beta} = e^{i(\alpha + \beta)}$.

If $x\in R$ and the roots of $ax^2+bx+c=0$ are complex, then the sign of $a^2x^2+abx+ac$ is

Cube root of complex numbers and treatment of cubic equations

Complex Function: Radius of convergence and convolutions.

Complex Function: Radius of convergence Pt 2: Complex Boogaloo

For $f(z) = z^n$ and $z=x+iy$. How do I expand this using binomial theorem?

Maximum value of derivative of a holomorphic function

Find all analytic functions $f: \mathbb{C} \longrightarrow \mathbb{C}$ such that f(3z)-f(2z)=5f(z)

Let $n$ be a positive integer and a complex number with unit modulus is a solution of the equation $z^n+z+1=0$. Prove that $n $ can't be $196$.

Can this equation have solutions in the upper half complex plane?

Sum of all powers of imaginary unit $\pmb i$

Trending Questions

Popular # Hahtags

Popular Questions