Question

Show that if $(z+1)^{100} = (z-1)^{100}$, then $z$ is purely imaginary

score 1.1k · Answer 1 · 2018-09-17 23:24:12

1.1k

Views

Show that if $(z+1)^{100} = (z-1)^{100}$, then $z$ is purely imaginary

Published on 17 Sep 2018 - 23:24

score 308 · Answer 2 · 2018-09-18 00:08:31

308

Views

Conformal map from the unit disk minus a segment $[\frac{1}{2},1)$ to the unit disk

Published on 18 Sep 2018 - 0:08

score 36 · Answer 3 · 2018-09-18 10:12:04

36

Views

How do I determine which complex value corresponds to which term

Published on 18 Sep 2018 - 10:12

score 96 · Answer 4 · 2018-09-18 17:23:28

96

Views

Euler's formula reversed: How does $1.609+1.025i$ become $1.908e^{i32.5^{\circ}}$?

Published on 18 Sep 2018 - 17:23

score 127 · Answer 5 · 2018-09-19 01:54:01

127

Views

Describe the complex solutions of the equation $(z − 1)^n = z^n$ in standard form.

Published on 19 Sep 2018 - 1:54

score 63 · Answer 6 · 2018-09-19 09:53:54

63

Views

To show a family of holomorphic function on unit disc satisfying $|f(0)|^2+\int_D|f'(z)|^2dA\leq1$ is normal

Published on 19 Sep 2018 - 9:53

score 481 · Answer 7 · 2018-09-19 12:12:50

481

Views

Are $\mathbb{C}$ under addition and $\mathbb{C}$ under multiplication isomorphic?

Published on 19 Sep 2018 - 12:12

score 482 · Answer 8 · 2018-09-19 15:13:56

482

Views

Holomorphic function whose domain is open and connected, and whose image is contained in finite union of lines, is constant

Published on 19 Sep 2018 - 15:13

score 362 · Answer 9 · 2018-09-19 19:53:26

362

Views

Conformal map from half plane with a slit to a punctured disk

Published on 19 Sep 2018 - 19:53

score 44 · Answer 10 · 2018-09-19 20:17:12

44

Views

A sequence of holomorphic functions $f_n:D(0,1)\to D(0,1)\setminus\{0\}$ , satisfying $\sum_{n=1}^\infty|f_n(0)|<\infty$,

Published on 19 Sep 2018 - 20:17

score 47 · Answer 11 · 2018-09-19 21:31:57

47

Views

Let $f$ be holomorphic on $U=\{2<|z|<\infty\}$ with $\int_{|z|=3|}f(z)dz=0$, show $f$ has a primitive on $U$.

Published on 19 Sep 2018 - 21:31

score 435 · Answer 12 · 2018-09-19 23:11:05

435

Views

Magnitude and phase of complex number with increasing exponential

Published on 19 Sep 2018 - 23:11

score 25 · Answer 13 · 2018-09-20 00:49:15

25

Views

$f:D(0,1)\setminus\{0\}\to\mathbb{C}$, holomorphic, given integrability criterion, show the bound of order of pole.

Published on 20 Sep 2018 - 0:49

score 2.8k · Answer 14 · 2018-09-20 00:52:59

2.8k

Views

Continuity of function on complex plane

Published on 20 Sep 2018 - 0:52

score 32 · Answer 15 · 2018-09-20 01:06:02

Let $U$ be a simply connected domain in $\mathbb{C}$, let $w\in U$. If $f,g\in Aut(U)$ such that $f(w)=g(w)$ and $f'(w)=g'(w)$, show f=g.

List Question

Show that if $(z+1)^{100} = (z-1)^{100}$, then $z$ is purely imaginary

Conformal map from the unit disk minus a segment $[\frac{1}{2},1)$ to the unit disk

How do I determine which complex value corresponds to which term

Euler's formula reversed: How does $1.609+1.025i$ become $1.908e^{i32.5^{\circ}}$?

Describe the complex solutions of the equation $(z − 1)^n = z^n$ in standard form.

To show a family of holomorphic function on unit disc satisfying $|f(0)|^2+\int_D|f'(z)|^2dA\leq1$ is normal

Are $\mathbb{C}$ under addition and $\mathbb{C}$ under multiplication isomorphic?

Holomorphic function whose domain is open and connected, and whose image is contained in finite union of lines, is constant

Conformal map from half plane with a slit to a punctured disk

A sequence of holomorphic functions $f_n:D(0,1)\to D(0,1)\setminus\{0\}$ , satisfying $\sum_{n=1}^\infty|f_n(0)|<\infty$,

Let $f$ be holomorphic on $U=\{2<|z|<\infty\}$ with $\int_{|z|=3|}f(z)dz=0$, show $f$ has a primitive on $U$.

Magnitude and phase of complex number with increasing exponential

$f:D(0,1)\setminus\{0\}\to\mathbb{C}$, holomorphic, given integrability criterion, show the bound of order of pole.

Continuity of function on complex plane

Let $U$ be a simply connected domain in $\mathbb{C}$, let $w\in U$. If $f,g\in Aut(U)$ such that $f(w)=g(w)$ and $f'(w)=g'(w)$, show f=g.

Trending Questions

Popular # Hahtags

Popular Questions