Question

Problem using existing index laws with complex numbers?

score 491 · Answer 1 · 2026-04-13 11:41:18

491

Views

Problem using existing index laws with complex numbers?

Published on 13 Apr 2026 - 11:41

score 149 · Answer 2 · 2026-03-27 05:04:01

149

Views

Evaluating $\sum_{r=1}^n \arctan{(r)}$

Published on 27 Mar 2026 - 5:04

score 79 · Answer 3 · 2026-04-15 21:52:03

79

Views

Solving $\beta^3-2\beta^2+(1-\rho)=0$ for $\beta$

Published on 15 Apr 2026 - 21:52

score 361 · Answer 4 · 2026-04-11 23:54:36

361

Views

Understanding proof regarding uniqueness of power series representation

Published on 11 Apr 2026 - 23:54

score 94 · Answer 5 · 2026-04-16 01:53:51

94

Views

Domain such that $f(z) = \dfrac{z - a}{1 - \bar {a}z}$ is analytic

Published on 16 Apr 2026 - 1:53

score 319 · Answer 6 · 2026-04-15 12:12:16

319

Views

Showing that $d(z,w)$ is a metric in $\mathbb C$

Published on 15 Apr 2026 - 12:12

score 212 · Answer 7 · 2026-04-17 03:17:30

212

Views

If $c >0$, $c≠ 1$, $z_1≠z_2$, prove that $\frac{|z-z_1 |}{|z-z_2 | }=c$ represents a circle. Find its center and radius.

Published on 17 Apr 2026 - 3:17

score 299 · Answer 8 · 2026-04-15 10:34:39

Let z, w be complex numbers with |z|=|w|=1 and z$\overline{w}$=$\frac{1}{2}+\frac{\sqrt 3}{2}i$ find out $|z-w|^{2}$

score 336 · Answer 9 · 2026-04-11 11:08:24

336

Views

finding limit of a complex function using polar coordinates

Published on 11 Apr 2026 - 11:08

score 41 · Answer 10 · 2026-04-12 08:02:22

41

Views

As w moves between $-i$ and $i$ on $w = \frac {1+zi}{z+i}$, prove z moves across positive imaginary axis

Published on 12 Apr 2026 - 8:02

score 304 · Answer 11 · 2026-04-16 08:10:28

how prove $\varepsilon_i \in \left \{ -1,1 \right \}$ such $\left | \sum_{i=1}^{n} \varepsilon_i z_i \right | \leqslant 1.$

score 101 · Answer 12 · 2026-04-11 03:00:25

101

Views

Can I differentiate $f(z)= z^2 e^\overline{z}$ with z in complex numbers?

Published on 11 Apr 2026 - 3:00

score 4.8k · Answer 13 · 2026-04-11 00:29:19

4.8k

Views

Finding the fourth roots of a complex number

Published on 11 Apr 2026 - 0:29

score 58 · Answer 14 · 2026-04-16 15:04:25

58

Views

Nature of an entire function when real part of $f(z) \geq 0$

Published on 16 Apr 2026 - 15:04

score 60 · Answer 15 · 2026-04-13 03:14:36

60

Views

Integrals and complex substitutions

Published on 13 Apr 2026 - 3:14

List Question

Problem using existing index laws with complex numbers?

Evaluating $\sum_{r=1}^n \arctan{(r)}$

Solving $\beta^3-2\beta^2+(1-\rho)=0$ for $\beta$

Understanding proof regarding uniqueness of power series representation

Domain such that $f(z) = \dfrac{z - a}{1 - \bar {a}z}$ is analytic

Showing that $d(z,w)$ is a metric in $\mathbb C$

If $c >0$, $c≠ 1$, $z_1≠z_2$, prove that $\frac{|z-z_1 |}{|z-z_2 | }=c$ represents a circle. Find its center and radius.

Let z, w be complex numbers with |z|=|w|=1 and z$\overline{w}$=$\frac{1}{2}+\frac{\sqrt 3}{2}i$ find out $|z-w|^{2}$

finding limit of a complex function using polar coordinates

As w moves between $-i$ and $i$ on $w = \frac {1+zi}{z+i}$, prove z moves across positive imaginary axis

how prove $\varepsilon_i \in \left \{ -1,1 \right \}$ such $\left | \sum_{i=1}^{n} \varepsilon_i z_i \right | \leqslant 1.$

Can I differentiate $f(z)= z^2 e^\overline{z}$ with z in complex numbers?

Finding the fourth roots of a complex number

Nature of an entire function when real part of $f(z) \geq 0$

Integrals and complex substitutions

Trending Questions

Popular # Hahtags

Popular Questions