List questions from complex-numbers

Published on 06 Sep 2018 - 12:51

85

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Let $f$ be an entire function such that image of $f$ lies in $L=\{2+iy:y\in R\}$ if $f(2+i)=2+i$ then show that $f(z)=2+i$ for all $z \in C$

Published on 25 Mar 2026 - 12:29

84

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What's wrong with this 1 = -1 proof?

Published on 07 Sep 2018 - 5:02

257

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Adjoint relation: transpose or conjugate transpose?

Published on 30 Mar 2026 - 16:00

392

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Prove that for $f(z)=\sum_{n=0}^{\infty} \frac{z^{n}}{2^n+1}$

Published on 07 Sep 2018 - 15:16

117

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Find the roots of the polynomial

Published on 07 Sep 2018 - 15:45

3.9k

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Find the number of complex numbers $z$ such that $z^{2018} =\overline{z}.$

Published on 27 Mar 2026 - 11:49

101

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Proof of the following complex inequalities

Published on 07 Sep 2018 - 19:30

96

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Complex Numbers Problems

Published on 07 Sep 2018 - 20:45

4.4k

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Separate f(z) into real and imaginary parts

Published on 07 Sep 2018 - 20:51

219

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Solving Complex Equation for both sides

Published on 07 Sep 2018 - 21:17

95

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Proving rules for real numbers hold for complex numbers

Published on 25 Mar 2026 - 2:59

60

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Find the roots (real or complex) of the equation $2a^2(1+\cos x) - (1+a^2 +b^2)^2 = 0$, $a,b\in \mathbb{R}$.

Published on 25 Mar 2026 - 20:12

74

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$p$-th roots of unity summing summing to an integer

Published on 08 Sep 2018 - 15:48

955

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How to write $4-3i$ in the form $e^z$ with $z=x+yi$

Published on 08 Sep 2018 - 18:48

List Question

How to find all complex solutions for $z^2 - z^{-2} = 4i$

Let $f$ be an entire function such that image of $f$ lies in $L=\{2+iy:y\in R\}$ if $f(2+i)=2+i$ then show that $f(z)=2+i$ for all $z \in C$

What's wrong with this 1 = -1 proof?

Adjoint relation: transpose or conjugate transpose?

Prove that for $f(z)=\sum_{n=0}^{\infty} \frac{z^{n}}{2^n+1}$

Find the roots of the polynomial

Find the number of complex numbers $z$ such that $z^{2018} =\overline{z}.$

Proof of the following complex inequalities

Complex Numbers Problems

Separate f(z) into real and imaginary parts

Solving Complex Equation for both sides

Proving rules for real numbers hold for complex numbers

Find the roots (real or complex) of the equation $2a^2(1+\cos x) - (1+a^2 +b^2)^2 = 0$, $a,b\in \mathbb{R}$.

$p$-th roots of unity summing summing to an integer

How to write $4-3i$ in the form $e^z$ with $z=x+yi$

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