List questions from complex-numbers

Published on 06 Dec 2018 - 19:37

43

Views

$z \in \mathbb{C}^-$ where $\mathbb{C}^- := \{z \in \mathbb{C} : Re(z) < 0\}$ identity

Published on 06 Dec 2018 - 21:53

77

Views

Understanding a proof. Why is it necessary that $\alpha<1$?

Published on 06 Dec 2018 - 22:25

40

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Find $x$ and $y$ in terms of real and imaginary parts of $f(z)=\frac{1}{z}$

Published on 27 Mar 2026 - 0:05

30

Views

Series representation for a specific range

Published on 26 Mar 2026 - 12:05

186

Views

A line integral equals zero implies a real integral also is zero

Published on 25 Mar 2026 - 15:58

171

Views

Why is $\int_{-1}^1 (1-|t|) \cdot e^{-i \omega t} dt$ equal to $2 \cdot \int_0^1 (1-t) \cdot \cos{\omega t}\, dt$

Published on 28 Mar 2026 - 1:48

47

Views

How to take an absolute value or modulus of z?

Published on 30 Mar 2026 - 8:15

344

Views

Prove that $\prod_{r=1}^m \sin \left( \frac {r\pi}{2m+1}\right) =\frac {\sqrt {2m+1}}{2^m}$

Published on 26 Mar 2026 - 13:02

789

Views

Show $\overline{e^{i\theta}} = e^{-i\theta}$ using trig identities

Published on 29 Mar 2026 - 18:57

143

Views

Convert $(1+i) ^ {1+i}$ to polar form

Published on 29 Mar 2026 - 18:50

100

Views

How to find all complex solutions?

Published on 09 Dec 2018 - 10:25

877

Views

If $z=4+i \sqrt{7}$ then find the value of $z^3 -4z^2 -9z + 91$.

Published on 09 Dec 2018 - 16:49

207

Views

Complex Analysis on Holomorphic Anti-derivatives

Published on 26 Mar 2026 - 17:29

324

Views

What about the solutions of $z^{1/3} +1 = 0$?

Published on 25 Mar 2026 - 6:12

List Question

Sine of complex numbers.

$z \in \mathbb{C}^-$ where $\mathbb{C}^- := \{z \in \mathbb{C} : Re(z) < 0\}$ identity

Understanding a proof. Why is it necessary that $\alpha<1$?

Find $x$ and $y$ in terms of real and imaginary parts of $f(z)=\frac{1}{z}$

Series representation for a specific range

A line integral equals zero implies a real integral also is zero

Why is $\int_{-1}^1 (1-|t|) \cdot e^{-i \omega t} dt$ equal to $2 \cdot \int_0^1 (1-t) \cdot \cos{\omega t}\, dt$

How to take an absolute value or modulus of z?

Prove that $\prod_{r=1}^m \sin \left( \frac {r\pi}{2m+1}\right) =\frac {\sqrt {2m+1}}{2^m}$

Show $\overline{e^{i\theta}} = e^{-i\theta}$ using trig identities

Convert $(1+i) ^ {1+i}$ to polar form

How to find all complex solutions?

If $z=4+i \sqrt{7}$ then find the value of $z^3 -4z^2 -9z + 91$.

Complex Analysis on Holomorphic Anti-derivatives

What about the solutions of $z^{1/3} +1 = 0$?

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