List questions from functional-equations

Published on 29 Mar 2026 - 5:27

99

Views

Fun functional equation in a group: $af(ab)b=bf(ba)a$

Published on 26 Nov 2019 - 18:54

164

Views

Solutions to $f'(x)-f(\alpha x)=0$

Published on 26 Nov 2019 - 20:59

33

Views

Determining function from equation

Published on 27 Nov 2019 - 11:55

66

Views

Finding the family of functions satisfying $f(x + y)=f(x)f(y) - f(x-y)$

Published on 28 Nov 2019 - 14:32

132

Views

$g(g(f(z)))=z$ and $\prod\limits_{f(x)=0}^{} g(x)=1$.

Published on 28 Nov 2019 - 22:15

41

Views

Using a series to approximate an inverse.

Published on 03 Dec 2019 - 6:41

323

Views

Does the functional square root of the sine function have an infinite product representation?

Published on 26 Mar 2026 - 21:34

178

Views

Find all functions such that $f(xy+f(x))=f(f(x)f(y))+x$

Published on 04 Dec 2019 - 9:15

174

Views

If $f$ is measurable then it is constant.

Published on 05 Dec 2019 - 12:19

107

Views

$f(f(x))=g(g(x)),f(f(f(x)))=g(g(g(x)))$

Published on 06 Dec 2019 - 21:31

566

Views

Solve functional equation $ h(y)+h^{-1}(y)=2y+y^2 $

Published on 28 Mar 2026 - 7:58

214

Views

Solving functional equation; $f(x+y)=yf(x)+f(y)$ also given that $f(1)=2$

Published on 10 Dec 2019 - 8:14

103

Views

Prove there exists no $f(x)$ with $ f'(x)\geq f^{\alpha}(x)$.

Published on 11 Dec 2019 - 14:34

46

Views

Solving the continued fraction functional equation $f(x) = g(x) + \frac1{f(x^n)}$.

Published on 26 Mar 2026 - 14:34

List Question

Functional equation $f(f(x)y+x)=f(x)f(y)+f(x)$

Fun functional equation in a group: $af(ab)b=bf(ba)a$

Solutions to $f'(x)-f(\alpha x)=0$

Determining function from equation

Finding the family of functions satisfying $f(x + y)=f(x)f(y) - f(x-y)$

$g(g(f(z)))=z$ and $\prod\limits_{f(x)=0}^{} g(x)=1$.

Using a series to approximate an inverse.

Does the functional square root of the sine function have an infinite product representation?

Find all functions such that $f(xy+f(x))=f(f(x)f(y))+x$

If $f$ is measurable then it is constant.

$f(f(x))=g(g(x)),f(f(f(x)))=g(g(g(x)))$

Solve functional equation $ h(y)+h^{-1}(y)=2y+y^2 $

Solving functional equation; $f(x+y)=yf(x)+f(y)$ also given that $f(1)=2$

Prove there exists no $f(x)$ with $ f'(x)\geq f^{\alpha}(x)$.

Solving the continued fraction functional equation $f(x) = g(x) + \frac1{f(x^n)}$.

Trending Questions

Popular # Hahtags

Popular Questions