List questions from functional-equations

Published on 11 Dec 2019 - 21:34

281

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Solve $f(m+n)+f(mn-1)=f(m)f(n)$ over $\mathbb{Z}$

Published on 12 Dec 2019 - 17:38

160

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Solve functional equation $f(x)^2 = f(2x)$ if $f$ is not differentiable

Published on 13 Dec 2019 - 14:46

61

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Solutions to $\sum_{k=0}^{\infty}\int_0^1f^k(x)dx=1$

Published on 14 Dec 2019 - 3:12

57

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How to find functions satisfying $\frac{f(x)}{f(y)}=f(x-y)$

Published on 14 Dec 2019 - 14:06

88

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Find $f(10)$ for the following conditions

Published on 15 Dec 2019 - 17:34

71

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Explicit solution to the following functional equation

Published on 27 Mar 2026 - 18:23

573

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functional equation $f(x^2)=xf(x)$

Published on 18 Dec 2019 - 23:01

88

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Functional equation substitution

Published on 21 Dec 2019 - 10:48

61

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Get a formula for sum of squares through functional equations

Published on 27 Mar 2026 - 8:16

183

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Functional equation $ f(x+yf(x^2))=f(x)+xf(xy) $

Published on 21 Dec 2019 - 20:44

56

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book recommendation about iterative functional equations

Published on 22 Dec 2019 - 17:15

62

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Finding $f(x)$ from the functional equation $f(x)=x f\left(\frac{2x+3}{x-2}\right)+3$

Published on 24 Dec 2019 - 11:12

18

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What values can take expression

Published on 24 Dec 2019 - 18:55

107

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Guessing function in solving functional equation

Published on 26 Dec 2019 - 10:07

List Question

Find all functions $ f: (0, \infty) \mapsto (0, \infty)$

Solve $f(m+n)+f(mn-1)=f(m)f(n)$ over $\mathbb{Z}$

Solve functional equation $f(x)^2 = f(2x)$ if $f$ is not differentiable

Solutions to $\sum_{k=0}^{\infty}\int_0^1f^k(x)dx=1$

How to find functions satisfying $\frac{f(x)}{f(y)}=f(x-y)$

Find $f(10)$ for the following conditions

Explicit solution to the following functional equation

functional equation $f(x^2)=xf(x)$

Functional equation substitution

Get a formula for sum of squares through functional equations

Functional equation $ f(x+yf(x^2))=f(x)+xf(xy) $

book recommendation about iterative functional equations

Finding $f(x)$ from the functional equation $f(x)=x f\left(\frac{2x+3}{x-2}\right)+3$

What values can take expression

Guessing function in solving functional equation

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