Question

Set of values of a complex number when a given expression involving the number is given to be real

score 37 · Answer 1 · 2018-03-30 13:09:12

37

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Set of values of a complex number when a given expression involving the number is given to be real

Published on 30 Mar 2018 - 13:09

score 136 · Answer 2 · 2026-03-27 09:17:16

136

Views

Does the Taylor series of $\ln(x)$ about $1$ allow domain extension?

Published on 27 Mar 2026 - 9:17

score 185 · Answer 3 · 2018-03-30 19:16:01

185

Views

Domain of complex function / singularity

Published on 30 Mar 2018 - 19:16

score 50 · Answer 4 · 2018-03-31 10:43:34

50

Views

Minimize modulus of three-variable function

Published on 31 Mar 2018 - 10:43

score 150 · Answer 5 · 2026-03-25 13:54:41

150

Views

Is there any way to determine $\mathrm{Arg}[ \Gamma(ix) ]$?

Published on 25 Mar 2026 - 13:54

score 516 · Answer 6 · 2018-03-31 16:58:00

516

Views

Transitive property with complex numbers

Published on 31 Mar 2018 - 16:58

score 59 · Answer 7 · 2018-03-31 19:12:15

Prove that if $e=f+gi$ is a solution of the equation $az^2 + bz+c=0$ with $ a \in \mathbb R_0 $ and $ b,c \in \mathbb R $

score 139 · Answer 8 · 2018-03-31 20:53:10

139

Views

How to prove that at least two of three complex numbers have the same absolute value?

Published on 31 Mar 2018 - 20:53

score 31 · Answer 9 · 2018-04-01 03:00:39

31

Views

Calculate $\partial(|z|^2+1)$ and $\bar{\partial}((\bar{z}|z|^2+1) \cdot \sin(z))$

Published on 01 Apr 2018 - 3:00

score 20 · Answer 10 · 2018-04-01 05:16:12

20

Views

Using this definition of $D_{\alpha}f(z)$, if $D(z)=\frac{\max_{\alpha}|D_{\alpha}f(z)|}{\min_{\alpha}|D_{\alpha}f(z)|}$, find $D(z)$

Published on 01 Apr 2018 - 5:16

score 970 · Answer 11 · 2018-04-01 09:01:26

970

Views

Will Fermat's last theorem hold true on the Complex Plane?

Published on 01 Apr 2018 - 9:01

score 80 · Answer 12 · 2018-04-01 12:36:39

80

Views

Multiple option question based on tangents to a circle

Published on 01 Apr 2018 - 12:36

score 48 · Answer 13 · 2018-04-01 17:24:32

48

Views

Is $W(S_1,S_2)$ convex?

Published on 01 Apr 2018 - 17:24

score 41 · Answer 14 · 2018-04-01 18:43:05

Image of $L=\{z\in\Bbb C \mid a\operatorname{Re}(z)+b\operatorname{Im}(z)+c=0; a^2+b^2\neq0; a,b,c\in \Bbb R \}$ under the function $e^z$

score 40 · Answer 15 · 2018-04-01 19:25:26

40

Views

Let $f$ be holomorphic on an environment of $D_{R}(a)$. Prove $|f(a)|\leq \frac{1}{2\pi}\int_{0}^{2\pi}{|f(a+Re^{it})|dt}$

Published on 01 Apr 2018 - 19:25

List Question

Set of values of a complex number when a given expression involving the number is given to be real

Does the Taylor series of $\ln(x)$ about $1$ allow domain extension?

Domain of complex function / singularity

Minimize modulus of three-variable function

Is there any way to determine $\mathrm{Arg}[ \Gamma(ix) ]$?

Transitive property with complex numbers

Prove that if $e=f+gi$ is a solution of the equation $az^2 + bz+c=0$ with $ a \in \mathbb R_0 $ and $ b,c \in \mathbb R $

How to prove that at least two of three complex numbers have the same absolute value?

Calculate $\partial(|z|^2+1)$ and $\bar{\partial}((\bar{z}|z|^2+1) \cdot \sin(z))$

Using this definition of $D_{\alpha}f(z)$, if $D(z)=\frac{\max_{\alpha}|D_{\alpha}f(z)|}{\min_{\alpha}|D_{\alpha}f(z)|}$, find $D(z)$

Will Fermat's last theorem hold true on the Complex Plane?

Multiple option question based on tangents to a circle

Is $W(S_1,S_2)$ convex?

Image of $L=\{z\in\Bbb C \mid a\operatorname{Re}(z)+b\operatorname{Im}(z)+c=0; a^2+b^2\neq0; a,b,c\in \Bbb R \}$ under the function $e^z$

Let $f$ be holomorphic on an environment of $D_{R}(a)$. Prove $|f(a)|\leq \frac{1}{2\pi}\int_{0}^{2\pi}{|f(a+Re^{it})|dt}$

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