Question

Functional equation with sqrt solutions

score 92 · Answer 1 · 2016-03-17 16:38:48

92

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Functional equation with sqrt solutions

Published on 17 Mar 2016 - 16:38

score 233 · Answer 2 · 2016-03-17 20:14:20

233

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Functional equation with only two solutions? $(f(2x))^3=f(4x)((f(x))^2+xf(x))$

Published on 17 Mar 2016 - 20:14

score 1.9k · Answer 3 · 2016-03-18 21:21:31

1.9k

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The Functional Equation $f(mn)=f(m)f(n)$ where $f:\mathbb{N}\rightarrow \mathbb{R}$, $f(2)=2$, and $f(m) > fn)$ if $m>n$.

Published on 18 Mar 2016 - 21:21

score 63 · Answer 4 · 2016-03-19 17:16:29

63

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Notation without cases? $f(x)=\begin{cases}p,&\text{if $x=p^k$}\\1,&\text{otherwise}\end{cases}$

Published on 19 Mar 2016 - 17:16

score 146 · Answer 5 · 2016-03-20 21:46:16

146

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Functional division $\max(f(x+y),f(x-y))\mid \min(xf(y)-yf(x), xy)$

Published on 20 Mar 2016 - 21:46

score 84 · Answer 6 · 2016-03-20 23:29:30

84

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Question regarding the Cauchy functional equation

Published on 20 Mar 2016 - 23:29

score 85 · Answer 7 · 2016-03-21 16:52:46

85

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Integration involving functional equations

Published on 21 Mar 2016 - 16:52

score 93 · Answer 8 · 2016-03-21 22:46:47

93

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Resolution of equation such that $f(...f(x)...)=x$

Published on 21 Mar 2016 - 22:46

score 83 · Answer 9 · 2016-03-23 13:55:57

83

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Functions that satisfy the identity $f\left(\frac{x}{t}\right) f\left(-\frac{y}{r}\right)=f\left(\frac{x-y}{t-r}\right)$

Published on 23 Mar 2016 - 13:55

score 563 · Answer 10 · 2016-03-23 19:27:52

563

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what is the relation between $f(x+1)$ and $f(x)$?

Published on 23 Mar 2016 - 19:27

score 105 · Answer 11 · 2016-03-24 00:07:16

105

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Different type of function equation

Published on 24 Mar 2016 - 0:07

score 183 · Answer 12 · 2016-03-26 22:33:57

183

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Functional equations with nowhere differentiable solutions

Published on 26 Mar 2016 - 22:33

score 2.6k · Answer 13 · 2026-03-28 20:40:16

2.6k

Views

How can I determine the best relationship for 3 variables, given several data points?

Published on 28 Mar 2026 - 20:40

score 1k · Answer 14 · 2016-03-29 09:50:30

1k

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Find all functions $f: \mathbb N \rightarrow \mathbb N$ such that $f(n!)=f(n)!$

Published on 29 Mar 2016 - 9:50

score 145 · Answer 15 · 2016-03-29 19:37:46

145

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Question about solutions of nonlinear functional equation $f(x)^2=xf(2x)$

Published on 29 Mar 2016 - 19:37

List Question

Functional equation with sqrt solutions

Functional equation with only two solutions? $(f(2x))^3=f(4x)((f(x))^2+xf(x))$

The Functional Equation $f(mn)=f(m)f(n)$ where $f:\mathbb{N}\rightarrow \mathbb{R}$, $f(2)=2$, and $f(m) > fn)$ if $m>n$.

Notation without cases? $f(x)=\begin{cases}p,&\text{if $x=p^k$}\\1,&\text{otherwise}\end{cases}$

Functional division $\max(f(x+y),f(x-y))\mid \min(xf(y)-yf(x), xy)$

Question regarding the Cauchy functional equation

Integration involving functional equations

Resolution of equation such that $f(...f(x)...)=x$

Functions that satisfy the identity $f\left(\frac{x}{t}\right) f\left(-\frac{y}{r}\right)=f\left(\frac{x-y}{t-r}\right)$

what is the relation between $f(x+1)$ and $f(x)$?

Different type of function equation

Functional equations with nowhere differentiable solutions

How can I determine the best relationship for 3 variables, given several data points?

Find all functions $f: \mathbb N \rightarrow \mathbb N$ such that $f(n!)=f(n)!$

Question about solutions of nonlinear functional equation $f(x)^2=xf(2x)$

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