List questions from complex-numbers

Published on 26 Mar 2026 - 17:52

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Soft: Applications of Entire Functions to Probability Theory

Published on 28 Mar 2026 - 2:03

123

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Evaluating $\sqrt{a\pm bi\sqrt c}$

Published on 25 Mar 2026 - 12:32

94

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Complex proof for “a curious property of regular heptagons”: $\frac{1}{A_1A_2} = \frac{1}{A_1A_3} + \frac{1}{A_1A_4}$

Published on 26 Jul 2019 - 5:02

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What is the maximum of Re(z) + Im(z)?

Published on 30 Mar 2026 - 2:45

456

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Is a complex inner product linear or conjugate linear in the first argument?

Published on 31 Mar 2026 - 9:23

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Complex Fourier series of $e^{-x}$

Published on 30 Mar 2026 - 0:19

553

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Multiplication of complex number by $~i~/-i~$

Published on 27 Jul 2019 - 13:16

253

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How to integrate $\int_0^{2\pi} \cos^{10}\theta \mathrm{d}\theta$ using complex analysis.

Published on 09 Apr 2026 - 3:31

152

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Strategies to finding Laurent series

Published on 09 Apr 2026 - 11:00

140

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Find a condition on real numbers $a$ and $b$ such that $\left(\frac{1+iz}{1-iz}\right)^n = a+ib$ has only real solutions

Published on 29 Jul 2019 - 3:27

53

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What is the complex logarithm of $(-1)^{k}$

Published on 29 Jul 2019 - 14:42

43

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Trouble solving task related to Fourier transforms

Published on 30 Mar 2026 - 10:09

99

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If $y>0$, prove that $|\cot(x+iy)+i| < \frac{e^{-2y}}{1-e^{-2y}}$

Published on 30 Jul 2019 - 8:49

25

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If $~\vert a_r\vert<2,~~r=1,2,..n~$ then p.t. there is no $~z~$ inside the circle $~|z|=\frac{1}{3}~$ such that $~a_nz^n+a_{n-1}z^{n-1}..a_1z+1=0~$

Published on 30 Jul 2019 - 9:42

List Question

$\omega = \frac{1 + \sqrt3 i}{2}$ , $ \omega^5 = ? $

Soft: Applications of Entire Functions to Probability Theory

Evaluating $\sqrt{a\pm bi\sqrt c}$

Complex proof for “a curious property of regular heptagons”: $\frac{1}{A_1A_2} = \frac{1}{A_1A_3} + \frac{1}{A_1A_4}$

What is the maximum of Re(z) + Im(z)?

Is a complex inner product linear or conjugate linear in the first argument?

Complex Fourier series of $e^{-x}$

Multiplication of complex number by $~i~/-i~$

How to integrate $\int_0^{2\pi} \cos^{10}\theta \mathrm{d}\theta$ using complex analysis.

Strategies to finding Laurent series

Find a condition on real numbers $a$ and $b$ such that $\left(\frac{1+iz}{1-iz}\right)^n = a+ib$ has only real solutions

What is the complex logarithm of $(-1)^{k}$

Trouble solving task related to Fourier transforms

If $y>0$, prove that $|\cot(x+iy)+i| < \frac{e^{-2y}}{1-e^{-2y}}$

If $~\vert a_r\vert<2,~~r=1,2,..n~$ then p.t. there is no $~z~$ inside the circle $~|z|=\frac{1}{3}~$ such that $~a_nz^n+a_{n-1}z^{n-1}..a_1z+1=0~$

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