List questions from complex-numbers

Published on 10 Apr 2026 - 0:51

90

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Complex numbers, prove modulus isn't equal to 1

Published on 14 Apr 2026 - 3:08

224

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Can one piecewise function have two metric spaces?

Published on 25 Mar 2026 - 16:13

1.2k

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Prove :$\tan^{-1}\left(e^{i\theta}\right)=\frac{n\pi}{2}+\frac{\pi}{4}-\frac{i}{2}\ln\left(\tan\left(\frac{\pi}{4}-\frac{\theta}{2}\right)\right)$

Published on 16 Apr 2026 - 2:38

208

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Non-Homogenous differential equation with complex roots and duality

Published on 10 May 2026 - 18:01

104

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Complex matrix eigenvalues

Published on 10 Apr 2026 - 21:05

191

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Image of arbitrary sectors under Möbius transformation

Published on 25 Mar 2026 - 20:35

480

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Contour integration w/ exponential and cosine functions

Published on 13 Apr 2026 - 3:37

330

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Why are the roots for a complex number placed symmetrically around Argand diagram? Aren't we finding revolutions?

Published on 15 Apr 2026 - 14:43

162

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Equivalence relation and complex numbers of modulus 1

Published on 16 Apr 2026 - 22:03

25

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Region of Complex Plane When Given Modulus

Published on 12 Apr 2026 - 0:55

93

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plotting on argand diagram $\arg

Published on 10 Apr 2026 - 20:55

67

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Proof of $|z^n| = |z|^n$, where $n \neq 0$

Published on 15 Apr 2026 - 15:58

110

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An algebraic way to do this question? Find minimum and maximum values of $|z_1+iz|$ where $|z-i|\leq5,\:\:z_1=5+3i$.

Published on 12 Apr 2026 - 23:28

54

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Solving an Ordinary Differential Equation for a complex function

Published on 13 Apr 2026 - 1:47

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Finding integral of complex curve Cauchy-Goursat

Complex numbers, prove modulus isn't equal to 1

Can one piecewise function have two metric spaces?

Prove :$\tan^{-1}\left(e^{i\theta}\right)=\frac{n\pi}{2}+\frac{\pi}{4}-\frac{i}{2}\ln\left(\tan\left(\frac{\pi}{4}-\frac{\theta}{2}\right)\right)$

Non-Homogenous differential equation with complex roots and duality

Complex matrix eigenvalues

Image of arbitrary sectors under Möbius transformation

Contour integration w/ exponential and cosine functions

Why are the roots for a complex number placed symmetrically around Argand diagram? Aren't we finding revolutions?

Equivalence relation and complex numbers of modulus 1

Region of Complex Plane When Given Modulus

plotting on argand diagram $\arg

Proof of $|z^n| = |z|^n$, where $n \neq 0$

An algebraic way to do this question? Find minimum and maximum values of $|z_1+iz|$ where $|z-i|\leq5,\:\:z_1=5+3i$.

Solving an Ordinary Differential Equation for a complex function

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