List questions from complex-numbers

Published on 16 Apr 2026 - 1:24

61

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What happens if we make the equation of a sphere complex instead of real?

Published on 28 Apr 2026 - 16:32

2.8k

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Showing if complex function and its conjugate are analytic, then function is constant

Published on 13 Apr 2026 - 0:59

32

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Query about summation in derivation of complex fourier series

Published on 17 Apr 2026 - 5:30

1.1k

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Proving that a complex polynomial has no roots on the unit circle

Published on 13 Apr 2026 - 17:29

56

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Prove that the discs having the centers in the vertices of a triangle and the radius R intersect in the circumcenter of the triangle

Published on 16 Apr 2026 - 23:21

36

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Determine the transformations of $\frac{2-z}{iz-2}$

Published on 16 Apr 2026 - 21:59

99

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Find a set of complex numbers with two conditions

Published on 14 Apr 2026 - 18:03

57

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Explaining a step in a proof on A-stability of a linear multistep method

Published on 10 Apr 2026 - 12:40

100

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How do I find the solution to this equation?

Published on 09 Apr 2026 - 7:16

96

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Demonstrating that $\sum_{n=0}^{50}i^n=i$

Published on 12 Apr 2026 - 23:11

67

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complex number : exam exercise

Published on 10 Apr 2026 - 0:23

981

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Show $f(z)=e^x(x\cos y-y\sin y)+ie^x(y\cos y+x\sin y)$ is analytic

Published on 15 Apr 2026 - 19:23

89

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Find all real numbers $a$ for which there exists a complex number $z$ such that $|z|=1$ and $|az-1|=a|z+1|$

Published on 16 Apr 2026 - 7:27

40

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What is the formula for a line in $\mathbb{C}^d$?

Published on 15 Apr 2026 - 0:18

List Question

Find the roots of $z^{3} =(3+4i)* \bar{z}$

What happens if we make the equation of a sphere complex instead of real?

Showing if complex function and its conjugate are analytic, then function is constant

Query about summation in derivation of complex fourier series

Proving that a complex polynomial has no roots on the unit circle

Prove that the discs having the centers in the vertices of a triangle and the radius R intersect in the circumcenter of the triangle

Determine the transformations of $\frac{2-z}{iz-2}$

Find a set of complex numbers with two conditions

Explaining a step in a proof on A-stability of a linear multistep method

How do I find the solution to this equation?

Demonstrating that $\sum_{n=0}^{50}i^n=i$

complex number : exam exercise

Show $f(z)=e^x(x\cos y-y\sin y)+ie^x(y\cos y+x\sin y)$ is analytic

Find all real numbers $a$ for which there exists a complex number $z$ such that $|z|=1$ and $|az-1|=a|z+1|$

What is the formula for a line in $\mathbb{C}^d$?

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