List questions from functional-equations

Published on 02 Aug 2020 - 17:17

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Functions satisfying $f(x)f(y)=2f(x+yf(x))$ over the positive reals

Published on 04 Aug 2020 - 13:39

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Good online references for solving functional equations?

Published on 04 Aug 2020 - 15:29

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Possible solutions to implicit functions

Published on 09 Apr 2026 - 3:04

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A general monotonic rescaling function

Published on 11 Apr 2026 - 12:42

170

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All solutions of $f(w+z)=f(w)f(z)$, $f(1)=e$

Published on 06 Aug 2020 - 20:43

83

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If $f(rx)=r^{\alpha} f(x)$, then which of these options is true?

Published on 08 Aug 2020 - 10:48

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Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

Published on 11 Apr 2026 - 22:43

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Spivak's Calculus Chapter 3 Problem 25

Published on 31 Mar 2026 - 5:31

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Finding a variable $n$ that satisfies the functional composition in which $f(f(f(f(n))))=3.$

Published on 11 Apr 2026 - 16:15

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Can there be a function $f\colon\mathbb Q_{+}^{}\to \mathbb Q_{+}^{}$ such that $f(xf(y))=\frac{f(f(x))}{y}$?

Published on 13 Aug 2020 - 10:03

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Show that such a function has a fix point

Published on 27 Mar 2026 - 6:15

532

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Find all functions $f$ such that $f(mn) = f(m)f(n)$ and...

Published on 16 Aug 2020 - 17:52

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Finding $f(2020)$ given that $f(n+m) + f(n-m) = f(3n)$

Published on 20 Aug 2020 - 1:17

70

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Looking for analytic functions $f,g,h$, such that $f(x+y)=g(x)+h(y)$ and at least $g$ or $h$ nonlinear

Published on 27 Mar 2026 - 0:10

List Question

Solve the functional equation $f(x)f(1/x)=f(x+1/x)+1$, $f(1)=2$, where $f(x)$ is a polynomial.

Functions satisfying $f(x)f(y)=2f(x+yf(x))$ over the positive reals

Good online references for solving functional equations?

Possible solutions to implicit functions

A general monotonic rescaling function

All solutions of $f(w+z)=f(w)f(z)$, $f(1)=e$

If $f(rx)=r^{\alpha} f(x)$, then which of these options is true?

Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

Spivak's Calculus Chapter 3 Problem 25

Finding a variable $n$ that satisfies the functional composition in which $f(f(f(f(n))))=3.$

Can there be a function $f\colon\mathbb Q_{+}^{}\to \mathbb Q_{+}^{}$ such that $f(xf(y))=\frac{f(f(x))}{y}$?

Show that such a function has a fix point

Find all functions $f$ such that $f(mn) = f(m)f(n)$ and...

Finding $f(2020)$ given that $f(n+m) + f(n-m) = f(3n)$

Looking for analytic functions $f,g,h$, such that $f(x+y)=g(x)+h(y)$ and at least $g$ or $h$ nonlinear

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