Question

Value of $f(2016),$ If $f(x) = f(2x)\forall x \in \mathbb{R}$ are given

score 402 · Answer 1 · 2016-08-02 05:54:36

402

Views

Value of $f(2016),$ If $f(x) = f(2x)\forall x \in \mathbb{R}$ are given

Published on 02 Aug 2016 - 5:54

score 134 · Answer 2 · 2016-08-03 17:52:21

134

Views

Solution of $x'(t)=x(x(t))$

Published on 03 Aug 2016 - 17:52

score 535 · Answer 3 · 2016-08-04 16:22:22

535

Views

Determine all functions satisfying $f(x + f(x + y)) + f(xy) = x + f(x + y) +yf(x)$

Published on 04 Aug 2016 - 16:22

score 80 · Answer 4 · 2016-08-06 09:48:47

80

Views

How to find the general solution to the functional equation $\phi(x, \nu, \sigma) = a\phi(a(x-\nu) + \nu + b, \nu + b, a\sigma)$

Published on 06 Aug 2016 - 9:48

score 7.9k · Answer 5 · 2026-03-30 20:45:08

7.9k

Views

If $f(x+1)+f(x-1)=\sqrt 3 f(x), \forall x$ then $f$ is periodic.

Published on 30 Mar 2026 - 20:45

score 2.6k · Answer 6 · 2016-08-07 10:56:27

2.6k

Views

If $f$ is continuous and $f(x+y)=f(x)f(y)$, then $\lim\limits_{x \rightarrow 0} \frac{f(x)-f(0)}{x}$ exists

Published on 07 Aug 2016 - 10:56

score 277 · Answer 7 · 2026-03-25 17:39:38

277

Views

Is it possible to find aproximation of conformal map from sequences of complex points?

Published on 25 Mar 2026 - 17:39

score 94 · Answer 8 · 2026-03-28 09:45:29

94

Views

Can these averaging formulas be expressed as transformations of the arithmetic mean?

Published on 28 Mar 2026 - 9:45

score 76 · Answer 9 · 2026-03-25 13:47:33

76

Views

Uniqueness of $f( x y - 1) = f(x-1)f(y-1),f(1) = A,f(1+n)>f(n)$?

Published on 25 Mar 2026 - 13:47

score 208 · Answer 10 · 2016-08-09 13:06:16

208

Views

Functional Equation $f(f(x))=\frac{x}{2}+3$

Published on 09 Aug 2016 - 13:06

score 217 · Answer 11 · 2016-08-09 19:15:48

217

Views

Find all functions satisfying $\frac{1}{f(a)}+ \frac{1}{f(b)} = \frac{1}{f(c)} $ whenever $\frac{1}{a}+ \frac{1}{b} = \frac{1}{c} $

Published on 09 Aug 2016 - 19:15

score 62 · Answer 12 · 2016-08-11 08:36:41

62

Views

Functional equation of type linear expression

Published on 11 Aug 2016 - 8:36

score 117 · Answer 13 · 2026-03-27 10:48:02

117

Views

About $f(x y) = f(x-1) f(y-1)$

Published on 27 Mar 2026 - 10:48

score 131 · Answer 14 · 2026-03-25 20:12:43

131

Views

Find $f$ such that $(f(x))^2 \ge f(x + y)(f(x) + y), \forall x, y$

Published on 25 Mar 2026 - 20:12

score 144 · Answer 15 · 2016-08-13 09:39:21

144

Views

About real functions with $f(f(x))+2f(x)=3x, \forall x \in A$

Published on 13 Aug 2016 - 9:39

List Question

Value of $f(2016),$ If $f(x) = f(2x)\forall x \in \mathbb{R}$ are given

Solution of $x'(t)=x(x(t))$

Determine all functions satisfying $f(x + f(x + y)) + f(xy) = x + f(x + y) +yf(x)$

How to find the general solution to the functional equation $\phi(x, \nu, \sigma) = a\phi(a(x-\nu) + \nu + b, \nu + b, a\sigma)$

If $f(x+1)+f(x-1)=\sqrt 3 f(x), \forall x$ then $f$ is periodic.

If $f$ is continuous and $f(x+y)=f(x)f(y)$, then $\lim\limits_{x \rightarrow 0} \frac{f(x)-f(0)}{x}$ exists

Is it possible to find aproximation of conformal map from sequences of complex points?

Can these averaging formulas be expressed as transformations of the arithmetic mean?

Uniqueness of $f( x y - 1) = f(x-1)f(y-1),f(1) = A,f(1+n)>f(n)$?

Functional Equation $f(f(x))=\frac{x}{2}+3$

Find all functions satisfying $\frac{1}{f(a)}+ \frac{1}{f(b)} = \frac{1}{f(c)} $ whenever $\frac{1}{a}+ \frac{1}{b} = \frac{1}{c} $

Functional equation of type linear expression

About $f(x y) = f(x-1) f(y-1)$

Find $f$ such that $(f(x))^2 \ge f(x + y)(f(x) + y), \forall x, y$

About real functions with $f(f(x))+2f(x)=3x, \forall x \in A$

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