Question

Simple Derivation of Functional Equation Question (L'Hospital's Rule)

score 215 · Answer 1 · 2015-05-18 19:54:44

215

Views

Simple Derivation of Functional Equation Question (L'Hospital's Rule)

Published on 18 May 2015 - 19:54

score 64 · Answer 2 · 2015-05-19 09:45:02

64

Views

A functional equation with no term outside functions

Published on 19 May 2015 - 9:45

score 124 · Answer 3 · 2015-05-19 16:19:36

124

Views

Complicated real to real functional equation

Published on 19 May 2015 - 16:19

score 83 · Answer 4 · 2015-05-19 16:25:04

83

Views

Integral equation involving Planck radiation formula

Published on 19 May 2015 - 16:25

score 374 · Answer 5 · 2026-04-01 11:38:28

374

Views

All solutions to functional equation $f(x+1)-f(x)=1$

Published on 01 Apr 2026 - 11:38

score 1.4k · Answer 6 · 2015-05-22 17:03:43

1.4k

Views

d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$

Published on 22 May 2015 - 17:03

score 147 · Answer 7 · 2015-05-23 12:25:34

147

Views

Functional equation $f(x)=f(x-1)+f(x-a)$

Published on 23 May 2015 - 12:25

score 133 · Answer 8 · 2015-05-23 16:22:15

133

Views

An awkward Functional Equation

Published on 23 May 2015 - 16:22

score 56 · Answer 9 · 2015-05-23 20:02:13

56

Views

The functional equation $x(x+1)+C(x)=(x+1)(x+2)+C(x+1)=(x+2)(x+3)+C(x+2)=...$

Published on 23 May 2015 - 20:02

score 34 · Answer 10 · 2015-05-24 22:09:00

34

Views

Recurrence equation $f(g\cdot x)/f(x)=t$

Published on 24 May 2015 - 22:09

score 489 · Answer 11 · 2015-05-25 06:52:22

489

Views

find all continuous functions $f:\mathbb{R}^n \rightarrow \mathbb{R}$ satisfying $f(x+y)+f(x-y)=2f(x)+2f(y)$ for all $x,y \in \mathbb{R}^n$

Published on 25 May 2015 - 6:52

score 389 · Answer 12 · 2015-05-26 19:21:29

389

Views

Solution to the functional equation $f(x^y)=f(x)^{f(y)}$

Published on 26 May 2015 - 19:21

score 99 · Answer 13 · 2015-05-27 03:45:50

99

Views

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

Published on 27 May 2015 - 3:45

score 615 · Answer 14 · 2026-04-03 02:41:28

615

Views

Is there a constructive discontinuous exponential function?

Published on 03 Apr 2026 - 2:41

score 1.9k · Answer 15 · 2015-06-03 06:59:11

1.9k

Views

Is it true that this function $f(n)=n^{13}$?

Published on 03 Jun 2015 - 6:59

List Question

Simple Derivation of Functional Equation Question (L'Hospital's Rule)

A functional equation with no term outside functions

Complicated real to real functional equation

Integral equation involving Planck radiation formula

All solutions to functional equation $f(x+1)-f(x)=1$

d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$

Functional equation $f(x)=f(x-1)+f(x-a)$

An awkward Functional Equation

The functional equation $x(x+1)+C(x)=(x+1)(x+2)+C(x+1)=(x+2)(x+3)+C(x+2)=...$

Recurrence equation $f(g\cdot x)/f(x)=t$

find all continuous functions $f:\mathbb{R}^n \rightarrow \mathbb{R}$ satisfying $f(x+y)+f(x-y)=2f(x)+2f(y)$ for all $x,y \in \mathbb{R}^n$

Solution to the functional equation $f(x^y)=f(x)^{f(y)}$

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

Is there a constructive discontinuous exponential function?

Is it true that this function $f(n)=n^{13}$?

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