Question

Functional problems: Find all functions such that $f(x)f(y) = f(xy + 1) + f(x - y) – 2$

score 140 · Answer 1 · 2019-04-27 09:11:36

140

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Functional problems: Find all functions such that $f(x)f(y) = f(xy + 1) + f(x - y) – 2$

Published on 27 Apr 2019 - 9:11

score 208 · Answer 2 · 2019-04-27 13:47:35

208

Views

Solving the equation $f(x)=f^{-1}(x)$.

Published on 27 Apr 2019 - 13:47

score 164 · Answer 3 · 2019-04-28 15:30:32

164

Views

IMO 1993 b2 proof

Published on 28 Apr 2019 - 15:30

score 524 · Answer 4 · 2019-04-29 03:39:15

524

Views

Find functions $f,g$ such that $f(x+y)=g(x·y)$ for all $x,y$?

Published on 29 Apr 2019 - 3:39

score 143 · Answer 5 · 2019-05-03 14:18:12

143

Views

Functional equations in one variable..

Published on 03 May 2019 - 14:18

score 121 · Answer 6 · 2019-05-03 17:38:40

121

Views

find all possible functions : $f(a)f(b)-6ab=\frac{3}{2}f(a+b)$

Published on 03 May 2019 - 17:38

score 417 · Answer 7 · 2019-05-03 19:46:23

417

Views

Is there any functional equation $f(ab+cd)= f(a)+f(b)+f(c)+f(d)$?

Published on 03 May 2019 - 19:46

score 73 · Answer 8 · 2019-05-04 13:46:38

73

Views

Question on Function of Function.

Published on 04 May 2019 - 13:46

score 112 · Answer 9 · 2019-05-05 09:06:14

112

Views

Differentiating Exponential Functional Equation

Published on 05 May 2019 - 9:06

score 125 · Answer 10 · 2019-05-05 23:18:24

125

Views

Functional equation with three variables

Published on 05 May 2019 - 23:18

score 130 · Answer 11 · 2019-05-06 17:28:06

130

Views

How to solve this D.E $y''(\frac{x}{2})+y'(\frac{x}{2})+y(x)=x$

Published on 06 May 2019 - 17:28

score 41 · Answer 12 · 2019-05-07 13:09:34

41

Views

Solve the functional equation $f\left(x\right) = 1 - \left(1 - f\left(x+1\right)\right)^{\frac{x}{x+1}}$

Published on 07 May 2019 - 13:09

score 121 · Answer 13 · 2019-05-10 07:14:38

121

Views

Existence of a differentiable function $f:\mathbb R\to\mathbb R$ satisfying $f(0)=1$ and $f(x+1)=\exp\left(3x^2+1\right)f(x)$

Published on 10 May 2019 - 7:14

score 51 · Answer 14 · 2019-05-10 14:55:53

51

Views

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

Published on 10 May 2019 - 14:55

score 98 · Answer 15 · 2026-03-26 11:06:57

98

Views

I would like to go for search for this given functional equation using either java or python $f(x+1) = f(x)^2-1$

Published on 26 Mar 2026 - 11:06

List Question

Functional problems: Find all functions such that $f(x)f(y) = f(xy + 1) + f(x - y) – 2$

Solving the equation $f(x)=f^{-1}(x)$.

IMO 1993 b2 proof

Find functions $f,g$ such that $f(x+y)=g(x·y)$ for all $x,y$?

Functional equations in one variable..

find all possible functions : $f(a)f(b)-6ab=\frac{3}{2}f(a+b)$

Is there any functional equation $f(ab+cd)= f(a)+f(b)+f(c)+f(d)$?

Question on Function of Function.

Differentiating Exponential Functional Equation

Functional equation with three variables

How to solve this D.E $y''(\frac{x}{2})+y'(\frac{x}{2})+y(x)=x$

Solve the functional equation $f\left(x\right) = 1 - \left(1 - f\left(x+1\right)\right)^{\frac{x}{x+1}}$

Existence of a differentiable function $f:\mathbb R\to\mathbb R$ satisfying $f(0)=1$ and $f(x+1)=\exp\left(3x^2+1\right)f(x)$

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

I would like to go for search for this given functional equation using either java or python $f(x+1) = f(x)^2-1$

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