List questions from complex-numbers

Published on 13 Apr 2026 - 12:33

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absolute value of sum of complex numbers squared

Published on 12 Apr 2026 - 19:08

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System of equations with complex numbers

Published on 09 Apr 2026 - 4:52

125

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Summation of complex numbers and simplification

Published on 11 Apr 2026 - 8:53

119

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Complex summation simplification

Published on 13 Apr 2026 - 12:33

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Construct a non-constant analytic function $f : \Omega_1 \to \Omega_2$ or show that this is impossible.

Published on 13 Apr 2026 - 16:17

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Prove that $z_1, z_2, z_3, z_4$ are the vertices of a rectangle if and only if...

Published on 15 Apr 2026 - 22:42

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Closure of Integers under multiplication and rational exponentiation

Published on 12 Apr 2026 - 16:07

77

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Schwarz's Lemma and extensions in complex analysis

Published on 11 Apr 2026 - 13:24

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How to solve the complex equation? $(x+2yi)^2 = xi.$

Published on 11 Apr 2026 - 5:06

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Draw a set of values in complex plane where the complex number $w=1-3i$ is pure imaginary number.

Published on 14 Apr 2026 - 23:50

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Is $i$ irrational?

Published on 09 Apr 2026 - 1:48

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$ \sum\limits_{n=1}^\infty \dfrac{(1+i)^n}{n^2}$ is divergent, and no idea about $\sum\limits_{n=1}^\infty \dfrac{(3+4i)^n}{5^n\,\sqrt[999]{n}}$

Published on 16 Apr 2026 - 1:10

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Is the exact value of $^{\infty}i$ known?

Published on 12 Apr 2026 - 17:00

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Expansion of $\sin^5 \theta$ using the Complex Exponential

Published on 12 Apr 2026 - 17:40

List Question

Summation of $\cos (2n-1) \theta$

absolute value of sum of complex numbers squared

System of equations with complex numbers

Summation of complex numbers and simplification

Complex summation simplification

Construct a non-constant analytic function $f : \Omega_1 \to \Omega_2$ or show that this is impossible.

Prove that $z_1, z_2, z_3, z_4$ are the vertices of a rectangle if and only if...

Closure of Integers under multiplication and rational exponentiation

Schwarz's Lemma and extensions in complex analysis

How to solve the complex equation? $(x+2yi)^2 = xi.$

Draw a set of values in complex plane where the complex number $w=1-3i$ is pure imaginary number.

Is $i$ irrational?

$ \sum\limits_{n=1}^\infty \dfrac{(1+i)^n}{n^2}$ is divergent, and no idea about $\sum\limits_{n=1}^\infty \dfrac{(3+4i)^n}{5^n\,\sqrt[999]{n}}$

Is the exact value of $^{\infty}i$ known?

Expansion of $\sin^5 \theta$ using the Complex Exponential

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