Question

A functional equation in a TST exam

score 149 · Answer 1 · 2018-08-15 16:56:21

149

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A functional equation in a TST exam

Published on 15 Aug 2018 - 16:56

score 101 · Answer 2 · 2026-03-25 11:10:13

101

Views

Are functions satisfying a certain inequality monotone

Published on 25 Mar 2026 - 11:10

score 64 · Answer 3 · 2018-08-16 01:44:23

64

Views

Describing conformal maps in terms of a complex functional equation.

Published on 16 Aug 2018 - 1:44

score 1.1k · Answer 4 · 2018-08-18 17:31:29

1.1k

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Strange functional equation: $f(x)+f(\cos(x))=x$

Published on 18 Aug 2018 - 17:31

score 259 · Answer 5 · 2018-08-21 15:25:10

259

Views

Functional equation $ f \big( f ( x ) - 2 y ) = 2 x - 3 y + f \big( f ( y ) - x \big) $ - not so trivial, or is it?

Published on 21 Aug 2018 - 15:25

score 203 · Answer 6 · 2018-08-22 09:56:18

203

Views

Functional equation $f(f(x)-x)=f(f(x))$

Published on 22 Aug 2018 - 9:56

score 79 · Answer 7 · 2018-08-23 06:07:37

79

Views

What is a commutative, associative function which is not isomorphic to addition?

Published on 23 Aug 2018 - 6:07

score 153 · Answer 8 · 2026-03-25 23:13:05

153

Views

Find a period if $f(x+k)=1+(2-5f(x)+10f(x)^2-10f(x)^3+5f(x)^4-f(x)^5)^{\frac{1}{5}}$

Published on 25 Mar 2026 - 23:13

score 778 · Answer 9 · 2018-08-24 16:48:28

778

Views

Find all functions if $f(x^2)+f(xy)=f(x)f(y)+yf(x)+xf(x+y)$ for all $x,y\in\mathbb{R}$.

Published on 24 Aug 2018 - 16:48

score 172 · Answer 10 · 2018-08-27 13:33:30

172

Views

A functional equation from a regional math olympiad (Dhaka regional, 2017)

Published on 27 Aug 2018 - 13:33

score 57 · Answer 11 · 2018-08-28 11:28:43

57

Views

Does $f_0=x,f_{n+1}(x)=e^{1/f_n(x)}$ converge to $1/W(1)$?

Published on 28 Aug 2018 - 11:28

score 137 · Answer 12 · 2018-08-29 20:41:24

137

Views

Solving the functional equation $f(1-x)+f(x)=1$

Published on 29 Aug 2018 - 20:41

score 407 · Answer 13 · 2018-09-03 07:46:03

407

Views

Is this $f(x) = x+1$ the only solution to this functional equation.

Published on 03 Sep 2018 - 7:46

score 184 · Answer 14 · 2018-09-03 14:56:22

184

Views

Functional equation related to $\sin$: $f(x+y)=f(x)f'(y)+f'(x)f(y)$

Published on 03 Sep 2018 - 14:56

score 55 · Answer 15 · 2018-09-04 05:16:14

55

Views

Are there any methods for finding analytic solutions to this equation $(xy + \frac1e)e^{F(x,y)} = F(g(y)x , f(y))$

Published on 04 Sep 2018 - 5:16

List Question

A functional equation in a TST exam

Are functions satisfying a certain inequality monotone

Describing conformal maps in terms of a complex functional equation.

Strange functional equation: $f(x)+f(\cos(x))=x$

Functional equation $ f \big( f ( x ) - 2 y ) = 2 x - 3 y + f \big( f ( y ) - x \big) $ - not so trivial, or is it?

Functional equation $f(f(x)-x)=f(f(x))$

What is a commutative, associative function which is not isomorphic to addition?

Find a period if $f(x+k)=1+(2-5f(x)+10f(x)^2-10f(x)^3+5f(x)^4-f(x)^5)^{\frac{1}{5}}$

Find all functions if $f(x^2)+f(xy)=f(x)f(y)+yf(x)+xf(x+y)$ for all $x,y\in\mathbb{R}$.

A functional equation from a regional math olympiad (Dhaka regional, 2017)

Does $f_0=x,f_{n+1}(x)=e^{1/f_n(x)}$ converge to $1/W(1)$?

Solving the functional equation $f(1-x)+f(x)=1$

Is this $f(x) = x+1$ the only solution to this functional equation.

Functional equation related to $\sin$: $f(x+y)=f(x)f'(y)+f'(x)f(y)$

Are there any methods for finding analytic solutions to this equation $(xy + \frac1e)e^{F(x,y)} = F(g(y)x , f(y))$

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