Question

Show that a function satisfies $|f(z)|<1$ for all $z$ in the open left half plane.

score 126 · Answer 1 · 2019-07-05 04:14:58

126

Views

Show that a function satisfies $|f(z)|<1$ for all $z$ in the open left half plane.

Published on 05 Jul 2019 - 4:14

score 258 · Answer 2 · 2019-07-05 22:26:04

258

Views

If $z + \frac{1}{z} = r$, where $r$ be a real number and $|r| < 2$. Find $|z|$.

Published on 05 Jul 2019 - 22:26

score 361 · Answer 3 · 2019-07-05 22:40:43

361

Views

Midpoint between two complex numbers

Published on 05 Jul 2019 - 22:40

score 40 · Answer 4 · 2019-07-06 05:22:18

40

Views

the amplitude and phase of a complex number to present it in pole diagram, Nyquist and Nichols

Published on 06 Jul 2019 - 5:22

score 835 · Answer 5 · 2026-03-30 06:07:10

835

Views

Connected Sets in the Complex Plane

Published on 30 Mar 2026 - 6:07

score 293 · Answer 6 · 2026-04-03 07:42:47

293

Views

Roots of $z^4 + 2z^3 + 20z + 12 = 0$

Published on 03 Apr 2026 - 7:42

score 115 · Answer 7 · 2019-07-08 09:27:36

115

Views

Solving $z^4*\overline{z}=-1+\sqrt{3}i$

Published on 08 Jul 2019 - 9:27

score 988 · Answer 8 · 2019-07-08 09:54:20

988

Views

What is the conjugate of a real number, a?

Published on 08 Jul 2019 - 9:54

score 799 · Answer 9 · 2026-03-25 20:13:53

799

Views

Where is my error in trying to find Pythagorean triples with matching areas?

Published on 25 Mar 2026 - 20:13

score 348 · Answer 10 · 2019-07-10 13:21:54

348

Views

Solving a complex polynomial including a conjugate

Published on 10 Jul 2019 - 13:21

score 142 · Answer 11 · 2019-07-10 17:07:25

142

Views

Help understanding proof of estimating finite complex sums in Rudin RCA

Published on 10 Jul 2019 - 17:07

score 61 · Answer 12 · 2019-07-11 15:37:19

61

Views

What is the solution of $(m^{2}+1)^2=0?$

Published on 11 Jul 2019 - 15:37

score 288 · Answer 13 · 2026-03-26 21:25:44

288

Views

Upper bound for sum of the nth roots of unity

Published on 26 Mar 2026 - 21:25

score 875 · Answer 14 · 2026-03-26 01:23:28

875

Views

Determine all entire functions $f(z)$ such that $0$ is a removable singularity of $f(\frac{1}{z})$?

Published on 26 Mar 2026 - 1:23

score 95 · Answer 15 · 2019-07-12 16:06:40

95

Views

$|2z^2 + 3iz + 1| < 6, \quad |z| = 1$

Published on 12 Jul 2019 - 16:06

List Question

Show that a function satisfies $|f(z)|<1$ for all $z$ in the open left half plane.

If $z + \frac{1}{z} = r$, where $r$ be a real number and $|r| < 2$. Find $|z|$.

Midpoint between two complex numbers

the amplitude and phase of a complex number to present it in pole diagram, Nyquist and Nichols

Connected Sets in the Complex Plane

Roots of $z^4 + 2z^3 + 20z + 12 = 0$

Solving $z^4*\overline{z}=-1+\sqrt{3}i$

What is the conjugate of a real number, a?

Where is my error in trying to find Pythagorean triples with matching areas?

Solving a complex polynomial including a conjugate

Help understanding proof of estimating finite complex sums in Rudin RCA

What is the solution of $(m^{2}+1)^2=0?$

Upper bound for sum of the nth roots of unity

Determine all entire functions $f(z)$ such that $0$ is a removable singularity of $f(\frac{1}{z})$?

$|2z^2 + 3iz + 1| < 6, \quad |z| = 1$

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