Question

A functional equation $\log f(x,y) = f(\log x, \log y) $

score 132 · Answer 1 · 2026-04-15 18:45:32

132

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A functional equation $\log f(x,y) = f(\log x, \log y) $

Published on 15 Apr 2026 - 18:45

score 55 · Answer 2 · 2026-04-12 10:42:10

55

Views

Is $g$ surjective or not? If yes, then why?

Published on 12 Apr 2026 - 10:42

score 75 · Answer 3 · 2026-04-07 22:20:18

75

Views

Functional equation in $\displaystyle \mathbb{Z} \to \mathbb{Z}$: $2014f(f(x)) + 2013f(x) = x$

Published on 07 Apr 2026 - 22:20

score 99 · Answer 4 · 2026-04-14 08:14:45

99

Views

Rational functions with Mobius symmetries

Published on 14 Apr 2026 - 8:14

score 132 · Answer 5 · 2026-04-07 23:46:17

132

Views

A continuous involutive function

Published on 07 Apr 2026 - 23:46

score 126 · Answer 6 · 2026-04-14 01:06:29

126

Views

How to solve functional equation $f(x+1)+f(x)=(f(x))^2+1$

Published on 14 Apr 2026 - 1:06

score 94 · Answer 7 · 2026-04-11 05:41:57

94

Views

Method of obtaining solution to functional equation: $f(x+1)-f(x)=\sin(x)$

Published on 11 Apr 2026 - 5:41

score 55 · Answer 8 · 2026-04-15 19:38:29

55

Views

How to solve this recurrence relation $ f(x, 0)=3 x \text { and } f(x, n+1)=f(f(x, n), n)$?

Published on 15 Apr 2026 - 19:38

score 155 · Answer 9 · 2026-04-16 07:27:24

155

Views

find all polynomials $f$ over $\mathbb{C}$ with $f(x)f(-x)=f(x^2)$

Published on 16 Apr 2026 - 7:27

score 366 · Answer 10 · 2026-04-14 02:54:04

366

Views

How can I solve the differential equation $f'(x) + f\left( x^2\right) =0$?

Published on 14 Apr 2026 - 2:54

score 36 · Answer 11 · 2026-04-11 09:15:30

36

Views

How would you solve for a function when given only the relationships between its transformations?

Published on 11 Apr 2026 - 9:15

score 196 · Answer 12 · 2026-04-16 15:53:43

196

Views

Find all polynomial $f$ such that $f(x)+f(1-x)=1$

Published on 16 Apr 2026 - 15:53

score 195 · Answer 13 · 2026-03-28 17:04:51

195

Views

It is possible to find non trivial solutions $f(t) \in C_c^\infty$ to $\dot{f}(t)=2f(2t+1)-2f(2t-1),\,f(0)=1$ for the whole $\mathbb{R}$ domain?

Published on 28 Mar 2026 - 17:04

score 60 · Answer 14 · 2026-04-16 17:03:53

60

Views

Can we be certain that the only nonzero differentiable function satisfying $g(x+y)=\frac{g(x)+g(y)}{1+g(x)g(y)}$ and $|g|\lt 1$ is $\tanh(kx)$?

Published on 16 Apr 2026 - 17:03

score 104 · Answer 15 · 2026-04-16 16:20:49

104

Views

$f(x)=f(x-1)+\dfrac{1}{x}$

Published on 16 Apr 2026 - 16:20

List Question

A functional equation $\log f(x,y) = f(\log x, \log y) $

Is $g$ surjective or not? If yes, then why?

Functional equation in $\displaystyle \mathbb{Z} \to \mathbb{Z}$: $2014f(f(x)) + 2013f(x) = x$

Rational functions with Mobius symmetries

A continuous involutive function

How to solve functional equation $f(x+1)+f(x)=(f(x))^2+1$

Method of obtaining solution to functional equation: $f(x+1)-f(x)=\sin(x)$

How to solve this recurrence relation $ f(x, 0)=3 x \text { and } f(x, n+1)=f(f(x, n), n)$?

find all polynomials $f$ over $\mathbb{C}$ with $f(x)f(-x)=f(x^2)$

How can I solve the differential equation $f'(x) + f\left( x^2\right) =0$?

How would you solve for a function when given only the relationships between its transformations?

Find all polynomial $f$ such that $f(x)+f(1-x)=1$

It is possible to find non trivial solutions $f(t) \in C_c^\infty$ to $\dot{f}(t)=2f(2t+1)-2f(2t-1),\,f(0)=1$ for the whole $\mathbb{R}$ domain?

Can we be certain that the only nonzero differentiable function satisfying $g(x+y)=\frac{g(x)+g(y)}{1+g(x)g(y)}$ and $|g|\lt 1$ is $\tanh(kx)$?

$f(x)=f(x-1)+\dfrac{1}{x}$

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