List questions from functional-equations

Published on 09 Apr 2026 - 22:53

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Analytic function $f$ such that $(f(z))^n= f(z^n)$

Published on 29 Apr 2026 - 12:51

212

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Prove a function is completely continuous

Published on 29 Apr 2026 - 12:53

654

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When does $f(X) = g(X+1)-g(X)$ where $f, g \in \mathbb{C}(X)$?

Published on 10 May 2026 - 15:02

99

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A Problem on Theory Of Equations

Published on 10 Apr 2026 - 21:35

48

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which is the function of (3) based in this equation

Published on 10 May 2026 - 14:55

820

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Functional equation unique solution logarithm

Published on 08 Apr 2026 - 16:36

137

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Find a function $f$ with $xf(x) - 1 = f(3-\frac{1}{x-1})$

Published on 17 Apr 2026 - 12:23

107

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Prove that $f(x)=0, \: \forall x \geq 0$, provided that $f(x+g(f(x)))=f(x)$

Published on 17 Apr 2026 - 2:44

266

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Prove linear functions that are not multiplications by a constant are unbounded on every interval

Published on 14 Apr 2026 - 17:24

76

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If $g(h(x))=x$ when does $f(x)=g(f(h(x))$ imply $f(x)=cx$?

Published on 15 Apr 2026 - 11:17

338

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If $f(x)^2=x+(x+1)f(x+2)$, what is $f(1)$?

Published on 10 May 2026 - 11:21

213

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Let $f:\Bbb{R}\to \Bbb{R} $ a continuous function s.t. $f(x+y)+f (x-y)=2f(x)+2f(y) $. Find $f$.

Published on 17 Apr 2026 - 7:00

60

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Simplest Basis to find the mobius function?

Published on 10 May 2026 - 13:22

585

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How to find the equations of the lines that make up the ruled surface 2xy

Published on 13 Apr 2026 - 10:11

List Question

How to find $\ f(6)$ given the following functional equation .

Analytic function $f$ such that $(f(z))^n= f(z^n)$

Prove a function is completely continuous

When does $f(X) = g(X+1)-g(X)$ where $f, g \in \mathbb{C}(X)$?

A Problem on Theory Of Equations

which is the function of (3) based in this equation

Functional equation unique solution logarithm

Find a function $f$ with $xf(x) - 1 = f(3-\frac{1}{x-1})$

Prove that $f(x)=0, \: \forall x \geq 0$, provided that $f(x+g(f(x)))=f(x)$

Prove linear functions that are not multiplications by a constant are unbounded on every interval

If $g(h(x))=x$ when does $f(x)=g(f(h(x))$ imply $f(x)=cx$?

If $f(x)^2=x+(x+1)f(x+2)$, what is $f(1)$?

Let $f:\Bbb{R}\to \Bbb{R} $ a continuous function s.t. $f(x+y)+f (x-y)=2f(x)+2f(y) $. Find $f$.

Simplest Basis to find the mobius function?

How to find the equations of the lines that make up the ruled surface 2xy

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