Question

$\omega(A_{\beta})\geq \frac{1}{2}$ for all $\beta$ and $\|A_{\beta_0}\|<1$ for some $\beta_0$

score 102 · Answer 1 · 2026-04-17 14:27:34

102

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$\omega(A_{\beta})\geq \frac{1}{2}$ for all $\beta$ and $\|A_{\beta_0}\|<1$ for some $\beta_0$

Published on 17 Apr 2026 - 14:27

score 51 · Answer 2 · 2026-04-11 07:29:40

51

Views

Are most integral formulas invariant to complex-valued parameters?

Published on 11 Apr 2026 - 7:29

score 108 · Answer 3 · 2026-04-15 17:59:54

108

Views

Find all complex solutions of z of the equation $2z+3\bar z=5$

Published on 15 Apr 2026 - 17:59

score 98 · Answer 4 · 2026-04-08 10:29:08

98

Views

Probability bound for complex random variable

Published on 08 Apr 2026 - 10:29

score 50 · Answer 5 · 2026-04-15 16:00:14

50

Views

Compute $\sum\limits_{n\ge1}\frac{(-1)^{n+1}}{(2n-1)\operatorname{ch}(\frac{(2n-1)\pi}2)}$ with residue theorem

Published on 15 Apr 2026 - 16:00

score 28 · Answer 6 · 2026-04-10 11:19:44

28

Views

Complex numbers and sequences

Published on 10 Apr 2026 - 11:19

score 514 · Answer 7 · 2026-04-14 08:52:21

514

Views

Argument in the roots of a complex number

Published on 14 Apr 2026 - 8:52

score 2.2k · Answer 8 · 2026-04-15 06:47:58

2.2k

Views

Deriving the logarithmic expressions of inverse trigonometric functions

Published on 15 Apr 2026 - 6:47

score 37 · Answer 9 · 2026-04-11 07:23:12

37

Views

Addition in $\mathbb{C}$ justification

Published on 11 Apr 2026 - 7:23

score 56 · Answer 10 · 2026-04-09 07:13:53

56

Views

Unable to derive an inequality to be used in complex analysis

Published on 09 Apr 2026 - 7:13

score 113 · Answer 11 · 2026-04-12 03:39:36

113

Views

Complex inequality: find the max value.

Published on 12 Apr 2026 - 3:39

score 904 · Answer 12 · 2026-04-16 03:35:28

904

Views

If $z=(3+7i)(p+iq)$, where $p,q \in Z-{\{0\}}$ is purely imaginary, then the minimum value for $|z|^2$ is

Published on 16 Apr 2026 - 3:35

score 293 · Answer 13 · 2026-04-11 01:26:29

293

Views

Finding all complex solutions $z$ of an equation involving $z$ and its conjugate $\bar z$

Published on 11 Apr 2026 - 1:26

score 107 · Answer 14 · 2026-04-14 04:26:33

If $\frac{w-\bar w z}{1-z}$ is purely real, where $w=\alpha +i\beta$, $\beta \ne 0$ and $z\ne 1$, then find set of values of $z$

score 101 · Answer 15 · 2026-04-15 11:15:47

101

Views

Show that the real part of complex number is $-1$

Published on 15 Apr 2026 - 11:15

List Question

$\omega(A_{\beta})\geq \frac{1}{2}$ for all $\beta$ and $\|A_{\beta_0}\|<1$ for some $\beta_0$

Are most integral formulas invariant to complex-valued parameters?

Find all complex solutions of z of the equation $2z+3\bar z=5$

Probability bound for complex random variable

Compute $\sum\limits_{n\ge1}\frac{(-1)^{n+1}}{(2n-1)\operatorname{ch}(\frac{(2n-1)\pi}2)}$ with residue theorem

Complex numbers and sequences

Argument in the roots of a complex number

Deriving the logarithmic expressions of inverse trigonometric functions

Addition in $\mathbb{C}$ justification

Unable to derive an inequality to be used in complex analysis

Complex inequality: find the max value.

If $z=(3+7i)(p+iq)$, where $p,q \in Z-{\{0\}}$ is purely imaginary, then the minimum value for $|z|^2$ is

Finding all complex solutions $z$ of an equation involving $z$ and its conjugate $\bar z$

If $\frac{w-\bar w z}{1-z}$ is purely real, where $w=\alpha +i\beta$, $\beta \ne 0$ and $z\ne 1$, then find set of values of $z$

Show that the real part of complex number is $-1$

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