List questions from complex-numbers

Published on 15 Apr 2026 - 5:02

125

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Calculate the following integral $\int_{0}^{\pi}\cot(t-i)dt$

Published on 12 Apr 2026 - 10:48

3.1k

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natural logarithm of a complex number $\ln(a+bi)$

Published on 11 Apr 2026 - 14:07

118

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Taylor series for $\ln(\frac{1-z^2}{1+z^3})$

Published on 16 Apr 2026 - 8:29

297

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Why does the characterization of Gaussian primes really work?

Published on 10 May 2026 - 19:35

57

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What's the graphical solution or the analytical solution to $|z^2-1|\geq 8$

Published on 13 Apr 2026 - 18:31

23

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Radius of convergence of this complex-numbers power series

Published on 05 May 2026 - 10:48

560

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Evaluate the integral $\int_{\gamma} e^{1/z}dz$

Published on 15 Apr 2026 - 0:19

278

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How to find eigenvectors of matrix with complex eigenvalues?

Published on 11 Apr 2026 - 0:58

57

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Find the argument of a complex number

Published on 14 Apr 2026 - 6:36

129

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How to write complex numbers to polar form?

Published on 11 Apr 2026 - 15:18

54

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How to solve $z^2 - 2(4+i)z+10- 20i = 0$

Published on 16 Apr 2026 - 4:18

66

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Can I apply Cauchy-Goursat to $\int_0^\pi \frac{dz}{3+z^2} \leq \frac\pi3$

Published on 15 Apr 2026 - 1:25

104

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A class of (invariant) polynomial equations with real and purely imaginary coefficients

Published on 14 Apr 2026 - 12:51

37

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Limit of complex sum

Published on 09 Apr 2026 - 6:31

List Question

What exception must be made if $|a|=|b|=1$ to $|\frac{a-b}{1-\bar{a}b}|=1$

Calculate the following integral $\int_{0}^{\pi}\cot(t-i)dt$

natural logarithm of a complex number $\ln(a+bi)$

Taylor series for $\ln(\frac{1-z^2}{1+z^3})$

Why does the characterization of Gaussian primes really work?

What's the graphical solution or the analytical solution to $|z^2-1|\geq 8$

Radius of convergence of this complex-numbers power series

Evaluate the integral $\int_{\gamma} e^{1/z}dz$

How to find eigenvectors of matrix with complex eigenvalues?

Find the argument of a complex number

How to write complex numbers to polar form?

How to solve $z^2 - 2(4+i)z+10- 20i = 0$

Can I apply Cauchy-Goursat to $\int_0^\pi \frac{dz}{3+z^2} \leq \frac\pi3$

A class of (invariant) polynomial equations with real and purely imaginary coefficients

Limit of complex sum

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