List questions from functional-equations

Published on 03 Sep 2013 - 9:38

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Proof read of functional equations

Published on 05 Sep 2013 - 1:50

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Finding every $n$ such that there exists a $n$-th degree polynomial which satisfies $f(x^2+1)={f(x)}^2+1$

Published on 05 Sep 2013 - 12:25

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Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$

Published on 28 Mar 2026 - 13:21

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The functional equation $ f ( m n ) = f ( m ) f ( n ) $ does not have a strictly increasing solution with $ f ( 2 ) = 3 $.

Published on 06 Sep 2013 - 13:47

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Find all functions $f(x+y)=f(x^{2}+y^{2})$ for positive $x,y$

Published on 06 Sep 2013 - 14:45

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How to calculate straight line into graph having variety of different results

Published on 07 Sep 2013 - 11:28

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why is it constant?

Published on 07 Sep 2013 - 19:04

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A functional equation over a circle: $f(r \cos \phi)+f(r\sin \phi)=f(r)$

Published on 07 Sep 2013 - 19:28

217

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$f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$

Published on 08 Sep 2013 - 15:34

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Many other solutions of the Cauchy's Functional Equation

Published on 08 Sep 2013 - 23:36

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A Functional Differential Equation: $f^\prime(x) =\frac{f(2x)}{2f(x)}$

Published on 09 Sep 2013 - 15:41

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Polynomials $P(x)$ satisfying $P(2x-x^2) = (P(x))^2$

Published on 09 Sep 2013 - 17:21

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Equation for finding maze solvability

Published on 09 Sep 2013 - 17:55

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when does $f(a)^{f(b)}=f(a^b)$?

Published on 10 Sep 2013 - 1:27

List Question

Function $f(x)$ such that $f(x-i)+f(x)=\frac{1}{x^2}$

Proof read of functional equations

Finding every $n$ such that there exists a $n$-th degree polynomial which satisfies $f(x^2+1)={f(x)}^2+1$

Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$

The functional equation $ f ( m n ) = f ( m ) f ( n ) $ does not have a strictly increasing solution with $ f ( 2 ) = 3 $.

Find all functions $f(x+y)=f(x^{2}+y^{2})$ for positive $x,y$

How to calculate straight line into graph having variety of different results

why is it constant?

A functional equation over a circle: $f(r \cos \phi)+f(r\sin \phi)=f(r)$

$f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$

Many other solutions of the Cauchy's Functional Equation

A Functional Differential Equation: $f^\prime(x) =\frac{f(2x)}{2f(x)}$

Polynomials $P(x)$ satisfying $P(2x-x^2) = (P(x))^2$

Equation for finding maze solvability

when does $f(a)^{f(b)}=f(a^b)$?

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