Question

Functional Equation Analysis

score 248 · Answer 1 · 2026-04-08 16:35:55

248

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Functional Equation Analysis

Published on 08 Apr 2026 - 16:35

score 459 · Answer 2 · 2011-02-05 10:16:04

459

Views

How to solve algebraically the equation $x = \frac{1}{2}\cos\left(\frac 2 3 \sin\left(\frac 3 4 x\right)\right) + 1$

Published on 05 Feb 2011 - 10:16

score 424 · Answer 3 · 2011-02-13 02:33:09

424

Views

Finding 2^2^2^2^2 ... n times

Published on 13 Feb 2011 - 2:33

score 9.9k · Answer 4 · 2026-02-24 03:31:50

9.9k

Views

Is there a name for function with the exponential property $f(x+y)=f(x) \cdot f(y)$?

Published on 24 Feb 2026 - 3:31

score 509 · Answer 5 · 2011-02-17 11:13:06

509

Views

Equation with a definite integral - can I differentiate it?

Published on 17 Feb 2011 - 11:13

score 56 · Answer 6 · 2011-02-22 19:17:03

56

Views

Reversing bijections defined via conditional expressions

Published on 22 Feb 2011 - 19:17

score 304 · Answer 7 · 2011-03-12 03:23:20

304

Views

A differential-functional equation: $f'(f^{-1}(x)) = 1/g(x)$

Published on 12 Mar 2011 - 3:23

score 710 · Answer 8 · 2011-03-24 00:16:30

710

Views

Does the functional equation $f(1/r) = rf(r)$ have any nontrivial solutions besides $f(r) = 1/\sqrt{r}$?

Published on 24 Mar 2011 - 0:16

score 407 · Answer 9 · 2011-04-07 08:20:17

407

Views

Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$

Published on 07 Apr 2011 - 8:20

score 171 · Answer 10 · 2011-04-07 21:03:43

171

Views

Looking for a function $f$ such that $f(i)=2(f(i-1)+f(\lceil i/2\rceil))$

Published on 07 Apr 2011 - 21:03

score 242 · Answer 11 · 2011-04-12 14:31:14

242

Views

Defining a function with certain properties

Published on 12 Apr 2011 - 14:31

score 132 · Answer 12 · 2011-04-13 13:57:39

132

Views

All functions with the property $ k \mid f(m+n) \iff k \mid f(m)+f(n)$

Published on 13 Apr 2011 - 13:57

score 1.2k · Answer 13 · 2026-04-07 06:50:34

1.2k

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Functional derivative of $\int \left( \frac{df^2 }{d^2 x} \right)^2 dx$

Published on 07 Apr 2026 - 6:50

score 2.9k · Answer 14 · 2011-04-19 05:34:22

2.9k

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Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$

Published on 19 Apr 2011 - 5:34

score 287 · Answer 15 · 2011-04-22 23:02:56

287

Views

Can every real function be represented as two shifted even functions?

Published on 22 Apr 2011 - 23:02

List Question

Functional Equation Analysis

How to solve algebraically the equation $x = \frac{1}{2}\cos\left(\frac 2 3 \sin\left(\frac 3 4 x\right)\right) + 1$

Finding 2^2^2^2^2 ... n times

Is there a name for function with the exponential property $f(x+y)=f(x) \cdot f(y)$?

Equation with a definite integral - can I differentiate it?

Reversing bijections defined via conditional expressions

A differential-functional equation: $f'(f^{-1}(x)) = 1/g(x)$

Does the functional equation $f(1/r) = rf(r)$ have any nontrivial solutions besides $f(r) = 1/\sqrt{r}$?

Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$

Looking for a function $f$ such that $f(i)=2(f(i-1)+f(\lceil i/2\rceil))$

Defining a function with certain properties

All functions with the property $ k \mid f(m+n) \iff k \mid f(m)+f(n)$

Functional derivative of $\int \left( \frac{df^2 }{d^2 x} \right)^2 dx$

Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$

Can every real function be represented as two shifted even functions?

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