List questions from functional-equations

Published on 04 Jan 2012 - 10:48

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Bijective functions $f(n)=f(f(n-1))=f^n(1)$

Published on 06 Jan 2012 - 9:42

479

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A function $f(x)$ such that $f(f(x))=\ln(x)$

Published on 09 Jan 2012 - 15:50

12.6k

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Examples of functions where $f(ab)=f(a)+f(b)$

Published on 13 Jan 2012 - 4:48

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Which trigonometric identities involve trigonometric functions?

Published on 17 Jan 2012 - 18:26

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How to prove $f(x)=ax$ if $f(x+y)=f(x)+f(y)$ and $f$ is locally integrable

Published on 18 Jan 2012 - 2:52

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References about Sierpinski's Theorem regarding Darboux functions

Published on 18 Jan 2012 - 8:40

909

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functional derivative of an integral of the function itself

Published on 08 Apr 2026 - 17:41

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Limit of a function satisfying an inequality

Published on 27 Mar 2026 - 8:44

114

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General aggregation functions

Published on 09 Apr 2026 - 3:15

147

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Could anyone derive a formula for this?

Published on 24 Jan 2012 - 9:21

709

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Is there a real-valued function $f$ such that $f(f(x)) = -x$?

Published on 28 Jan 2012 - 15:48

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very elementary proof of Maxwell's theorem

Published on 03 Feb 2012 - 20:05

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How does $\exp(x+y) = \exp(x)\exp(y)$ imply $\exp(x) = [\exp(1)]^x$?

Published on 05 Feb 2012 - 15:59

843

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Finding inverse of function without knowing function?

Published on 14 Feb 2012 - 14:49

List Question

About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$

Bijective functions $f(n)=f(f(n-1))=f^n(1)$

A function $f(x)$ such that $f(f(x))=\ln(x)$

Examples of functions where $f(ab)=f(a)+f(b)$

Which trigonometric identities involve trigonometric functions?

How to prove $f(x)=ax$ if $f(x+y)=f(x)+f(y)$ and $f$ is locally integrable

References about Sierpinski's Theorem regarding Darboux functions

functional derivative of an integral of the function itself

Limit of a function satisfying an inequality

General aggregation functions

Could anyone derive a formula for this?

Is there a real-valued function $f$ such that $f(f(x)) = -x$?

very elementary proof of Maxwell's theorem

How does $\exp(x+y) = \exp(x)\exp(y)$ imply $\exp(x) = [\exp(1)]^x$?

Finding inverse of function without knowing function?

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