List questions from complex-numbers

Published on 21 Mar 2026 - 19:33

39

Views

Finding $\{z\in \mathbb{C}\mid|1 + i z|^2<1,\,\mathrm{Im}(z-i)>0\}$

Published on 18 Jan 2018 - 15:34

42

Views

Complex Variables Inequality

Published on 21 Mar 2026 - 20:38

149

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Find the argument of complex number

Published on 22 Mar 2026 - 5:52

491

Views

Reason for Graphing Complex Numbers

Published on 17 Mar 2026 - 8:38

679

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Pure imaginary numbers : $ ( j^{2n} - j^n ) \in i\Bbb R $?

Published on 19 Jan 2018 - 12:16

481

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Question on complex numbers and cube root of unity

Published on 22 Mar 2026 - 16:13

41

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Let $z = a + b*i$ where we assume a and b are real numbers. Prove $e^{-z} = \frac{1}{e^{z}}$

Published on 19 Jan 2018 - 17:31

128

Views

Question about the roots of a complex polynomial

Published on 22 Mar 2026 - 5:42

164

Views

Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Published on 24 Mar 2026 - 22:09

101

Views

Prove that $\frac{x^{i+1}}{-2+2i}-\frac{x^{-i+1}}{2+2i}=\frac{x\sin(\ln(x))-x\cos(\ln(x))}{2}$

Published on 19 Jan 2018 - 23:43

1.6k

Views

Looking for fully evaluated solution to: $\sin(z) = 3$

Published on 22 Mar 2026 - 14:59

49

Views

Finding argument of a bulky complex number

Published on 22 Mar 2026 - 10:55

110

Views

Complex Numbers $- \arg(-z)$

Published on 20 Mar 2026 - 17:57

2.5k

Views

How to prove or disprove surjectivity of a complex function?

Published on 21 Jan 2018 - 0:35

List Question

Sketch the complex set

Finding $\{z\in \mathbb{C}\mid|1 + i z|^2<1,\,\mathrm{Im}(z-i)>0\}$

Complex Variables Inequality

Find the argument of complex number

Reason for Graphing Complex Numbers

Pure imaginary numbers : $ ( j^{2n} - j^n ) \in i\Bbb R $?

Question on complex numbers and cube root of unity

Let $z = a + b*i$ where we assume a and b are real numbers. Prove $e^{-z} = \frac{1}{e^{z}}$

Question about the roots of a complex polynomial

Radical problem: $\sqrt[6]{-1}=\sqrt{\sqrt[3]{-1}}=\sqrt {-1}=i$

Prove that $\frac{x^{i+1}}{-2+2i}-\frac{x^{-i+1}}{2+2i}=\frac{x\sin(\ln(x))-x\cos(\ln(x))}{2}$

Looking for fully evaluated solution to: $\sin(z) = 3$

Finding argument of a bulky complex number

Complex Numbers $- \arg(-z)$

How to prove or disprove surjectivity of a complex function?

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