List questions from functional-equations

Published on 12 Apr 2026 - 4:47

66

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Simple functional equation in two variables

Published on 11 Apr 2026 - 0:30

164

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Show that specific polynomial with $p(a)=p(b)=0$ must be constantly $0$.

Published on 22 Dec 2020 - 22:08

90

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Solving functional equation involving infinite sum

Published on 12 Apr 2026 - 8:09

66

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Find all polynomials that satisfy a functional equation

Published on 12 Apr 2026 - 10:41

347

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Function that forms an Arithmetic Sequence

Published on 12 Apr 2026 - 1:04

648

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Are these two series really equal to each other? If so, why?

Published on 11 Apr 2026 - 19:02

22

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Show linearity using additivity and continuity at zero

Published on 11 Apr 2026 - 12:55

454

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How to build taylor series for infinite dimensional objects?

Published on 11 Apr 2026 - 16:49

101

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Dimension of $V = \{P \in \mathbb{R}_n [X] : P (X^2)-( X^n + 1) P (X) =0\}$

Published on 29 Dec 2020 - 21:24

116

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An elementary problem on function

Published on 11 Apr 2026 - 2:46

51

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$f(x-y)=f(x)f(y)-f(a-x)f(a+y)$

Published on 01 Jan 2021 - 10:49

394

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British Maths Olympiad Round 2 2011, Question 3: Is there a more efficient method?

Published on 12 Apr 2026 - 16:55

307

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Given $f(i, j) = f(i − 1, j − 1) + f(i, j − 1)$, find the value of $f(1009, 2019)$

Published on 05 Jan 2021 - 17:48

225

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Given functions $h,k:\Bbb R\to \Bbb R$, is it possible to determine whether $f,g:\Bbb R\to\Bbb R$ exist so that $g\circ f=h$ and $f\circ g=k$?

Published on 12 Apr 2026 - 16:13

List Question

Is my solution correct in terms of proof? I can't prove directly that $f(x)=4$.

Simple functional equation in two variables

Show that specific polynomial with $p(a)=p(b)=0$ must be constantly $0$.

Solving functional equation involving infinite sum

Find all polynomials that satisfy a functional equation

Function that forms an Arithmetic Sequence

Are these two series really equal to each other? If so, why?

Show linearity using additivity and continuity at zero

How to build taylor series for infinite dimensional objects?

Dimension of $V = \{P \in \mathbb{R}_n [X] : P (X^2)-( X^n + 1) P (X) =0\}$

An elementary problem on function

$f(x-y)=f(x)f(y)-f(a-x)f(a+y)$

British Maths Olympiad Round 2 2011, Question 3: Is there a more efficient method?

Given $f(i, j) = f(i − 1, j − 1) + f(i, j − 1)$, find the value of $f(1009, 2019)$

Given functions $h,k:\Bbb R\to \Bbb R$, is it possible to determine whether $f,g:\Bbb R\to\Bbb R$ exist so that $g\circ f=h$ and $f\circ g=k$?

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