Question

Solve $g(x + \frac{1}{x}) = x^y + \frac{1}{x^y}$

score 57 · Answer 1 · 2015-12-17 12:24:46

57

Views

Solve $g(x + \frac{1}{x}) = x^y + \frac{1}{x^y}$

Published on 17 Dec 2015 - 12:24

score 720 · Answer 2 · 2015-12-17 16:16:22

720

Views

The functional equation $f(f(x) + y) = f(f(x) - y) + 4f(x)y$

Published on 17 Dec 2015 - 16:16

score 210 · Answer 3 · 2015-12-17 16:59:01

210

Views

Solving a functional equation $f(x)+f\left(\frac{1}{1-x}\right)=x$

Published on 17 Dec 2015 - 16:59

score 404 · Answer 4 · 2015-12-18 03:25:30

404

Views

Finding Symmetry Group $S_3$ in a function

Published on 18 Dec 2015 - 3:25

score 647 · Answer 5 · 2015-12-18 18:06:31

647

Views

Differentiable function satisfying $f(x+a) = bf(x)$ for all $x$

Published on 18 Dec 2015 - 18:06

score 404 · Answer 6 · 2015-12-18 18:35:27

404

Views

If $B(x+y)-B(x)-B(y)\in\mathbb Z$ can we add an integer function to $B$ to make it additive?

Published on 18 Dec 2015 - 18:35

score 117 · Answer 7 · 2015-12-20 10:12:09

117

Views

Solving functional equation $f(x+y)^2=f(x)^2+f(y)^2$

Published on 20 Dec 2015 - 10:12

score 90 · Answer 8 · 2015-12-21 04:11:51

90

Views

Functional equation $f(x + y) = f(x)^m + f(y)^{m + 1}$

Published on 21 Dec 2015 - 4:11

score 1.5k · Answer 9 · 2026-04-03 17:54:23

1.5k

Views

Solve the functional equation $f (2x)=f (x)\cos x$

Published on 03 Apr 2026 - 17:54

score 955 · Answer 10 · 2015-12-21 13:58:04

955

Views

How to prove that a function is continuous in functional equation?

Published on 21 Dec 2015 - 13:58

score 351 · Answer 11 · 2015-12-22 12:49:40

351

Views

Find all solutions to the functional equation $f(x) +f(x+y)=y+2 $

Published on 22 Dec 2015 - 12:49

score 609 · Answer 12 · 2015-12-22 16:53:01

609

Views

If,for all $x$,$f(x)=f(2a)^x$ and $f(x+2)=27f(x)$,then find $a$

Published on 22 Dec 2015 - 16:53

score 107 · Answer 13 · 2015-12-22 21:44:02

107

Views

What are the conditions on this Riemann-Zeta function functional equation?

Published on 22 Dec 2015 - 21:44

score 770 · Answer 14 · 2015-12-23 13:05:30

770

Views

If $f(x+y)-f(x-y)=4xy$, then is $f(0)=0$ or $f(0)=1$?

Published on 23 Dec 2015 - 13:05

score 2.7k · Answer 15 · 2015-12-24 08:15:10

2.7k

Views

Differentiable function such that $f(x+y),f(x)f(y),f(x-y)$ are an arithmetic progression for all $x,y$

Published on 24 Dec 2015 - 8:15

List Question

Solve $g(x + \frac{1}{x}) = x^y + \frac{1}{x^y}$

The functional equation $f(f(x) + y) = f(f(x) - y) + 4f(x)y$

Solving a functional equation $f(x)+f\left(\frac{1}{1-x}\right)=x$

Finding Symmetry Group $S_3$ in a function

Differentiable function satisfying $f(x+a) = bf(x)$ for all $x$

If $B(x+y)-B(x)-B(y)\in\mathbb Z$ can we add an integer function to $B$ to make it additive?

Solving functional equation $f(x+y)^2=f(x)^2+f(y)^2$

Functional equation $f(x + y) = f(x)^m + f(y)^{m + 1}$

Solve the functional equation $f (2x)=f (x)\cos x$

How to prove that a function is continuous in functional equation?

Find all solutions to the functional equation $f(x) +f(x+y)=y+2 $

If,for all $x$,$f(x)=f(2a)^x$ and $f(x+2)=27f(x)$,then find $a$

What are the conditions on this Riemann-Zeta function functional equation?

If $f(x+y)-f(x-y)=4xy$, then is $f(0)=0$ or $f(0)=1$?

Differentiable function such that $f(x+y),f(x)f(y),f(x-y)$ are an arithmetic progression for all $x,y$

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