Question

Characterization of the exponential function

score 362 · Answer 1 · 2017-04-22 21:10:57

362

Views

Characterization of the exponential function

Published on 22 Apr 2017 - 21:10

score 472 · Answer 2 · 2026-03-27 01:45:02

472

Views

Strictly Monotonic, Continuous Sub-linear functions with F(1)=1; Any real difference between these and linear functions?

Published on 27 Mar 2026 - 1:45

score 252 · Answer 3 · 2026-03-27 01:46:08

252

Views

Strictly Monotonic increasing, Symmetric ,doubling Function $F:[0,1]\to [0,1]$

Published on 27 Mar 2026 - 1:46

score 63 · Answer 4 · 2026-03-27 00:05:52

63

Views

Jensens function on the real line exactly and conditional equations f(xy) + f(xy−1) = 2f(x) and f(xy) + f(y−1x) = 2f(x)

Published on 27 Mar 2026 - 0:05

score 171 · Answer 5 · 2026-03-27 00:06:44

171

Views

Is this true? A strict monotonic function F satisfying Jensen equation with F(0)=0, only expresses dyadic rationals multiples?

Published on 27 Mar 2026 - 0:06

score 324 · Answer 6 · 2026-03-27 07:13:13

324

Views

Imaginary part of expression involving complete elliptic integral

Published on 27 Mar 2026 - 7:13

score 60 · Answer 7 · 2017-04-26 09:00:23

60

Views

Solving functional equation $1=e^{−\frac{2}{k}f(ax+bx^2)}+2f(x)$

Published on 26 Apr 2017 - 9:00

score 563 · Answer 8 · 2017-04-27 11:39:35

563

Views

How much does $(f \circ f)(x)=x^2 - x + 1$ determine $f$?

Published on 27 Apr 2017 - 11:39

score 63 · Answer 9 · 2026-03-30 07:20:41

63

Views

Function composition inverse problem

Published on 30 Mar 2026 - 7:20

score 199 · Answer 10 · 2017-04-27 13:23:44

199

Views

How to solve functional equations like the Abel equation $f(h(x))=h(x+1)$?

Published on 27 Apr 2017 - 13:23

score 67 · Answer 11 · 2017-04-27 14:17:05

67

Views

Find the number of functions $f: A \rightarrow A$

Published on 27 Apr 2017 - 14:17

score 1.8k · Answer 12 · 2017-04-27 14:23:35

1.8k

Views

Let $f(z)$ be an entire function satisfying $z\dfrac{f^{'}(z)}{f(z)} = z^{2}\dfrac{f^{'}(z^{2})}{f(z^{2})}$ show that $f(z) = cz^{m}$.

Published on 27 Apr 2017 - 14:23

score 5.5k · Answer 13 · 2017-04-28 04:39:49

5.5k

Views

What are some examples of Idempotent functions?

Published on 28 Apr 2017 - 4:39

score 1.3k · Answer 14 · 2017-04-28 10:27:37

1.3k

Views

How to find if this function is always zero?

Published on 28 Apr 2017 - 10:27

score 206 · Answer 15 · 2026-03-26 13:51:08

206

Views

Is a strictly Increasing, midpoint convex, symmetric probability function, iff it is midpoint concave/linear?

Published on 26 Mar 2026 - 13:51

List Question

Characterization of the exponential function

Strictly Monotonic, Continuous Sub-linear functions with F(1)=1; Any real difference between these and linear functions?

Strictly Monotonic increasing, Symmetric ,doubling Function $F:[0,1]\to [0,1]$

Jensens function on the real line exactly and conditional equations f(xy) + f(xy−1) = 2f(x) and f(xy) + f(y−1x) = 2f(x)

Is this true? A strict monotonic function F satisfying Jensen equation with F(0)=0, only expresses dyadic rationals multiples?

Imaginary part of expression involving complete elliptic integral

Solving functional equation $1=e^{−\frac{2}{k}f(ax+bx^2)}+2f(x)$

How much does $(f \circ f)(x)=x^2 - x + 1$ determine $f$?

Function composition inverse problem

How to solve functional equations like the Abel equation $f(h(x))=h(x+1)$?

Find the number of functions $f: A \rightarrow A$

Let $f(z)$ be an entire function satisfying $z\dfrac{f^{'}(z)}{f(z)} = z^{2}\dfrac{f^{'}(z^{2})}{f(z^{2})}$ show that $f(z) = cz^{m}$.

What are some examples of Idempotent functions?

How to find if this function is always zero?

Is a strictly Increasing, midpoint convex, symmetric probability function, iff it is midpoint concave/linear?

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