List questions from complex-numbers

Published on 11 Apr 2026 - 22:53

598

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how to prove that a given function is univalent

Published on 11 Apr 2026 - 15:12

795

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Minimum value of $|z+1|+|z-1|+|z-i|$

Published on 14 Apr 2026 - 9:55

150

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Finding complex eigenvectors of $n \times n$ matrix, $n\geq 3$

Published on 18 Apr 2026 - 22:32

135

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Can we add fractional powers of negative numbers?

Published on 10 Apr 2026 - 17:09

360

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How to find $\lim\limits_{z \to z_0} \frac{{\overline z}^2-{\overline z_0}^2}{z-z_0}$

Published on 16 Apr 2026 - 9:41

1.1k

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how to prove that a function is not complex differentiable

Published on 11 Apr 2026 - 1:03

192

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inequality in absolute value with exponential

Published on 13 Apr 2026 - 2:17

53

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Let $|z|=1, $ prove that $|z^2-3z+1|\leq 5$ ....

Published on 15 Apr 2026 - 5:41

10.4k

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How to change the limits of a summation when the index $k$ is replaced by $-k$?

Published on 25 Apr 2026 - 4:06

1.6k

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If $|z-3i|+|z-4|=5$ then find the minimum value of $|z|$

Published on 14 Apr 2026 - 22:37

575

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Find all solutions for $z^3 = \overline{z}$

Published on 14 Apr 2026 - 17:00

91

Views

Proving that for all complex $z$, $\lim_{x\to0}\frac{1-\cos^{z}x}{x^2}=\frac{z}{2}.$

Published on 16 Apr 2026 - 1:33

655

Views

Magnitude of a complex expression

Published on 09 Apr 2026 - 12:06

208

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Find the set of complex numbers $z$ which satisfy: $\left\lvert\frac{z-3}{z+3}\right\rvert=2$

Published on 16 Apr 2026 - 0:38

List Question

Solving $e^z=\pm1$ in $\bf C$

how to prove that a given function is univalent

Minimum value of $|z+1|+|z-1|+|z-i|$

Finding complex eigenvectors of $n \times n$ matrix, $n\geq 3$

Can we add fractional powers of negative numbers?

How to find $\lim\limits_{z \to z_0} \frac{{\overline z}^2-{\overline z_0}^2}{z-z_0}$

how to prove that a function is not complex differentiable

inequality in absolute value with exponential

Let $|z|=1, $ prove that $|z^2-3z+1|\leq 5$ ....

How to change the limits of a summation when the index $k$ is replaced by $-k$?

If $|z-3i|+|z-4|=5$ then find the minimum value of $|z|$

Find all solutions for $z^3 = \overline{z}$

Proving that for all complex $z$, $\lim_{x\to0}\frac{1-\cos^{z}x}{x^2}=\frac{z}{2}.$

Magnitude of a complex expression

Find the set of complex numbers $z$ which satisfy: $\left\lvert\frac{z-3}{z+3}\right\rvert=2$

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