Question

About periodicity of $f(\frac{m}{n})=\frac{3m-1}{2n+1}$ when $\frac{m}{n}$ is reduced form.

score 102 · Answer 1 · 2016-07-06 17:01:45

102

Views

About periodicity of $f(\frac{m}{n})=\frac{3m-1}{2n+1}$ when $\frac{m}{n}$ is reduced form.

Published on 06 Jul 2016 - 17:01

score 541 · Answer 2 · 2016-07-06 21:29:02

541

Views

Determine all functions $f$ on $\mathbb R$ such that $f(x^2+yf(x))=f(x)f(x+y)$ for all $x,y$

Published on 06 Jul 2016 - 21:29

score 151 · Answer 3 · 2016-07-08 08:00:27

151

Views

Functional Equation: $f \left(x+\cos(2017y) \right)=f(x)+2017\cos\left(f(y)\right)$

Published on 08 Jul 2016 - 8:00

score 839 · Answer 4 · 2016-07-09 12:31:07

839

Views

Find $f(x)$ satisfying the functional equation $x^2{f(x)} +f(1- x) =2x -x^4$

Published on 09 Jul 2016 - 12:31

score 1.2k · Answer 5 · 2016-07-11 15:17:08

1.2k

Views

What are some standard methods for solving functional equations?

Published on 11 Jul 2016 - 15:17

score 65 · Answer 6 · 2016-07-12 05:03:16

65

Views

How to prove that the following two sets are equal?

Published on 12 Jul 2016 - 5:03

score 488 · Answer 7 · 2016-07-12 17:28:01

488

Views

Solving the functional equation $ f(z) = f\left(\frac{z^2+4}{3}\right) $ in complex analysis

Published on 12 Jul 2016 - 17:28

score 63 · Answer 8 · 2016-07-14 03:06:45

63

Views

Solving for $f_2(x, y)$ in $\int_{\mathbb{R}}f_1(x, y) f_2(x, y) dx = g(y)$

Published on 14 Jul 2016 - 3:06

score 237 · Answer 9 · 2016-07-14 14:38:01

237

Views

$f(x)$ is a quadratic polynomial with $f(0)\neq 0$ and $f(f(x)+x)=f(x)(x^2+4x-7)$

Published on 14 Jul 2016 - 14:38

score 216 · Answer 10 · 2016-07-14 17:28:02

216

Views

Closed form of function $f(n) = \frac1n \sum\limits _{k=1}^{n-1} f(k)$?

Published on 14 Jul 2016 - 17:28

score 175 · Answer 11 · 2016-07-14 18:01:18

175

Views

Solving for a function

Published on 14 Jul 2016 - 18:01

score 52 · Answer 12 · 2016-07-16 05:22:31

52

Views

Finding functions that give nice solutions to a recurrence relation.

Published on 16 Jul 2016 - 5:22

score 298 · Answer 13 · 2016-07-17 11:07:21

298

Views

Inverse Equation of the Given Equation

Published on 17 Jul 2016 - 11:07

score 676 · Answer 14 · 2016-07-18 20:12:19

676

Views

Solve functional equation $f(x^4+y)=x^3f(x)+f(y)$

Published on 18 Jul 2016 - 20:12

score 43 · Answer 15 · 2016-07-19 00:39:53

43

Views

Modify position with variable ratio

Published on 19 Jul 2016 - 0:39

List Question

About periodicity of $f(\frac{m}{n})=\frac{3m-1}{2n+1}$ when $\frac{m}{n}$ is reduced form.

Determine all functions $f$ on $\mathbb R$ such that $f(x^2+yf(x))=f(x)f(x+y)$ for all $x,y$

Functional Equation: $f \left(x+\cos(2017y) \right)=f(x)+2017\cos\left(f(y)\right)$

Find $f(x)$ satisfying the functional equation $x^2{f(x)} +f(1- x) =2x -x^4$

What are some standard methods for solving functional equations?

How to prove that the following two sets are equal?

Solving the functional equation $ f(z) = f\left(\frac{z^2+4}{3}\right) $ in complex analysis

Solving for $f_2(x, y)$ in $\int_{\mathbb{R}}f_1(x, y) f_2(x, y) dx = g(y)$

$f(x)$ is a quadratic polynomial with $f(0)\neq 0$ and $f(f(x)+x)=f(x)(x^2+4x-7)$

Closed form of function $f(n) = \frac1n \sum\limits _{k=1}^{n-1} f(k)$?

Solving for a function

Finding functions that give nice solutions to a recurrence relation.

Inverse Equation of the Given Equation

Solve functional equation $f(x^4+y)=x^3f(x)+f(y)$

Modify position with variable ratio

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