List questions from complex-numbers

Published on 25 Mar 2026 - 21:22

963

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How do I solve $z^2+(3+4i)z-1+5i=0$

Published on 28 Mar 2026 - 8:49

1.3k

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If $z\in\mathbb{C}$ satisfying $|z-1|=1$ then prove $\arg(z-1)=2\arg z$

Published on 07 Feb 2019 - 23:20

95

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How to prove the inequality $|e^z-1| \geq |z|/2$ for sufficiently small $|z|$?

Published on 08 Feb 2019 - 6:30

115

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Triangle Inequality Proof: Show that:$||z_1|-|z_2||\leq |z_1+z_2|$

Published on 08 Feb 2019 - 10:41

100

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Need Help with Complex Equation and finding all Zs

Published on 28 Mar 2026 - 20:56

47

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Determine if the given complex matrices are similar.

Published on 09 Feb 2019 - 10:22

252

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what is the amplitude and argument of given z= 1-cos(9$\pi$/10)-i*sin(9$\pi$/10)

Published on 09 Feb 2019 - 16:12

169

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Do we know the limit of $\sum\limits_{k=1}^{n}\frac{1}{(a i k+b)^2}$?

Published on 09 Feb 2019 - 19:42

42

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Elimination of zeros of an entire function

Published on 09 Feb 2019 - 20:18

158

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$f(z) = \frac{z-a}{1 - z\bar{a}}$ interpretation?

Published on 09 Feb 2019 - 20:21

118

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Why is $z=1$ not a branch point of the function $w=f(z)=z^{1/2}$?

Published on 24 Mar 2026 - 22:07

156

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Notion of line on a complex affine space

Published on 25 Mar 2026 - 9:37

205

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What can be said about complex numbers $z_1, z_2, z_3$ if $\frac{z_1 - z_3}{z_2 - z_3}$ is real?

Published on 10 Feb 2019 - 20:00

1.1k

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How to write $e^{\pi+i}$ as $a+bi$

Published on 10 Feb 2019 - 21:28

List Question

What is meant by "rational operation"?

How do I solve $z^2+(3+4i)z-1+5i=0$

If $z\in\mathbb{C}$ satisfying $|z-1|=1$ then prove $\arg(z-1)=2\arg z$

How to prove the inequality $|e^z-1| \geq |z|/2$ for sufficiently small $|z|$?

Triangle Inequality Proof: Show that:$||z_1|-|z_2||\leq |z_1+z_2|$

Need Help with Complex Equation and finding all Zs

Determine if the given complex matrices are similar.

what is the amplitude and argument of given z= 1-cos(9$\pi$/10)-i*sin(9$\pi$/10)

Do we know the limit of $\sum\limits_{k=1}^{n}\frac{1}{(a i k+b)^2}$?

Elimination of zeros of an entire function

$f(z) = \frac{z-a}{1 - z\bar{a}}$ interpretation?

Why is $z=1$ not a branch point of the function $w=f(z)=z^{1/2}$?

Notion of line on a complex affine space

What can be said about complex numbers $z_1, z_2, z_3$ if $\frac{z_1 - z_3}{z_2 - z_3}$ is real?

How to write $e^{\pi+i}$ as $a+bi$

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