Question

$f(x)\in \mathbb{R}$, $x\in D\cap\mathbb{R}$, implies $\overline{f(x)}= f(\overline{x})$, $x\in D$?

score 68 · Answer 1 · 2019-05-22 00:07:50

68

Views

$f(x)\in \mathbb{R}$, $x\in D\cap\mathbb{R}$, implies $\overline{f(x)}= f(\overline{x})$, $x\in D$?

Published on 22 May 2019 - 0:07

score 81 · Answer 2 · 2019-05-22 00:41:43

81

Views

Show $e^{a-b}=\frac{e^a}{e^b}$ for every $a,b \in \mathbb{C}$.

Published on 22 May 2019 - 0:41

score 468 · Answer 3 · 2026-03-25 04:58:46

468

Views

How do I show that $w = \frac{1}{(z-a)^n}$ is an analytic function using the Cauchy Riemann equations,where z = x + iy?

Published on 25 Mar 2026 - 4:58

score 106 · Answer 4 · 2026-03-25 11:17:48

106

Views

Partial derivative proof of complex numbers

Published on 25 Mar 2026 - 11:17

score 65 · Answer 5 · 2019-05-22 16:08:15

65

Views

A simple Complex Function [Spivak 27-12(a)]

Published on 22 May 2019 - 16:08

score 377 · Answer 6 · 2026-03-27 00:04:49

377

Views

Finding the coefficients of the Laurent series

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score 133 · Answer 7 · 2019-05-22 17:08:53

133

Views

Complex Shoelace Theorem

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score 6.8k · Answer 8 · 2019-05-22 20:15:17

6.8k

Views

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Published on 22 May 2019 - 20:15

score 67 · Answer 9 · 2026-03-29 14:18:41

67

Views

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score 48 · Answer 10 · 2019-05-23 09:03:40

48

Views

How can I express in polar form $z = \frac{1}{(x-3 + iy)^n}$?

Published on 23 May 2019 - 9:03

score 49 · Answer 11 · 2026-04-01 21:52:11

49

Views

Why is this expression real valued and nonnegative?

Published on 01 Apr 2026 - 21:52

score 49 · Answer 12 · 2026-03-30 13:36:09

49

Views

Evaluating the argument of a complex expression

Published on 30 Mar 2026 - 13:36

score 45 · Answer 13 · 2026-03-27 06:52:03

Without using the Euclidean algorithm, show that in $\mathbb{Z}[i]$ for $x,y \in \mathbb{Z}$ s.t $x^2+9 = y^3$, $x+3i$ and $x-3i$ are relative prime.

score 70 · Answer 14 · 2026-04-01 11:00:45

70

Views

Telescoping Rhombuses

Published on 01 Apr 2026 - 11:00

score 106 · Answer 15 · 2019-05-24 13:19:15

106

Views

Paul J Nahin. Story of minus one, I'm stumped on page 5.

Published on 24 May 2019 - 13:19

List Question

$f(x)\in \mathbb{R}$, $x\in D\cap\mathbb{R}$, implies $\overline{f(x)}= f(\overline{x})$, $x\in D$?

Show $e^{a-b}=\frac{e^a}{e^b}$ for every $a,b \in \mathbb{C}$.

How do I show that $w = \frac{1}{(z-a)^n}$ is an analytic function using the Cauchy Riemann equations,where z = x + iy?

Partial derivative proof of complex numbers

A simple Complex Function [Spivak 27-12(a)]

Finding the coefficients of the Laurent series

Complex Shoelace Theorem

Using complex numbers to find $\cos 5\theta$

Solving a polynomial by grouping and factoring - why does this answer have $\pm3i$?

How can I express in polar form $z = \frac{1}{(x-3 + iy)^n}$?

Why is this expression real valued and nonnegative?

Evaluating the argument of a complex expression

Without using the Euclidean algorithm, show that in $\mathbb{Z}[i]$ for $x,y \in \mathbb{Z}$ s.t $x^2+9 = y^3$, $x+3i$ and $x-3i$ are relative prime.

Telescoping Rhombuses

Paul J Nahin. Story of minus one, I'm stumped on page 5.

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