Question

A non-constant periodic solution to Cauchy's functional equation

score 257 · Answer 1 · 2017-03-07 19:17:36

257

Views

A non-constant periodic solution to Cauchy's functional equation

Published on 07 Mar 2017 - 19:17

score 766 · Answer 2 · 2017-03-09 10:40:31

766

Views

Power series solution of $ f(x+y) = f(x)f(y) $ functional equation

Published on 09 Mar 2017 - 10:40

score 45 · Answer 3 · 2026-03-28 00:06:12

45

Views

Almost-periodic functions

Published on 28 Mar 2026 - 0:06

score 376 · Answer 4 · 2017-03-10 13:03:41

376

Views

Functional equation $4f(x^2+y^2)=(f(x)+f(y))^2$

Published on 10 Mar 2017 - 13:03

score 168 · Answer 5 · 2017-03-11 08:46:40

168

Views

Find $f(x)$ such that $f^\prime(x) = f(f(x))$

Published on 11 Mar 2017 - 8:46

score 155 · Answer 6 · 2017-03-11 23:00:30

155

Views

Find all functions $f: \mathbb{Z}_{\ge 0}\rightarrow \mathbb{Z}_{\ge 0}$ such that $f(f(m)+f(n))=m+n$

Published on 11 Mar 2017 - 23:00

score 1.3k · Answer 7 · 2017-03-12 14:59:52

1.3k

Views

Find functions $f:\mathbb{N}\rightarrow \mathbb{N}$ such that $ f(m+n)=f(m)+f(n)+2mn$

Published on 12 Mar 2017 - 14:59

score 396 · Answer 8 · 2017-03-12 17:27:09

396

Views

Prove that there is no function $f:\mathbb{Z}_{\ge 0}\rightarrow \mathbb{Z}_{\ge 0}$ such that $f(f(n-1))=f(n+1)-f(n)$

Published on 12 Mar 2017 - 17:27

score 71 · Answer 9 · 2017-03-13 00:18:00

71

Views

A question on functional equations

Published on 13 Mar 2017 - 0:18

score 61 · Answer 10 · 2026-03-25 14:46:54

61

Views

A detailed explanation of why $\zeta(s)$ has a gamma factor in the spirit of the corresponding axiom related to the Selberg class

Published on 25 Mar 2026 - 14:46

score 114 · Answer 11 · 2017-03-14 21:45:39

114

Views

Functional equation $f(n+f(n))=f(n)$

Published on 14 Mar 2017 - 21:45

score 451 · Answer 12 · 2017-03-15 01:51:42

451

Views

Solve the functional Equation:- $f(x+y)=3^xf(y)+9^yf(x)\forall x,y\in \mathbb{R}$

Published on 15 Mar 2017 - 1:51

score 395 · Answer 13 · 2017-03-21 04:22:53

395

Views

Find all functions $f:\Bbb{R}\to \Bbb{R}$ such that $f$ is continuous and $ f(f(x+y)) = f(x)+f(y)$

Published on 21 Mar 2017 - 4:22

score 95 · Answer 14 · 2017-03-22 15:47:44

95

Views

Existence of a Noncontinous $f$ Satisfying $f(a+b) = f(a)+f(b)$

Published on 22 Mar 2017 - 15:47

score 109 · Answer 15 · 2017-03-24 06:22:42

109

Views

Extremum of the functional $f(x+g(x))$

Published on 24 Mar 2017 - 6:22

List Question

A non-constant periodic solution to Cauchy's functional equation

Power series solution of $ f(x+y) = f(x)f(y) $ functional equation

Almost-periodic functions

Functional equation $4f(x^2+y^2)=(f(x)+f(y))^2$

Find $f(x)$ such that $f^\prime(x) = f(f(x))$

Find all functions $f: \mathbb{Z}_{\ge 0}\rightarrow \mathbb{Z}_{\ge 0}$ such that $f(f(m)+f(n))=m+n$

Find functions $f:\mathbb{N}\rightarrow \mathbb{N}$ such that $ f(m+n)=f(m)+f(n)+2mn$

Prove that there is no function $f:\mathbb{Z}_{\ge 0}\rightarrow \mathbb{Z}_{\ge 0}$ such that $f(f(n-1))=f(n+1)-f(n)$

A question on functional equations

A detailed explanation of why $\zeta(s)$ has a gamma factor in the spirit of the corresponding axiom related to the Selberg class

Functional equation $f(n+f(n))=f(n)$

Solve the functional Equation:- $f(x+y)=3^xf(y)+9^yf(x)\forall x,y\in \mathbb{R}$

Find all functions $f:\Bbb{R}\to \Bbb{R}$ such that $f$ is continuous and $ f(f(x+y)) = f(x)+f(y)$

Existence of a Noncontinous $f$ Satisfying $f(a+b) = f(a)+f(b)$

Extremum of the functional $f(x+g(x))$

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