List questions from fractional-iteration

Published on 25 Mar 2026 - 1:19

563

Views

Find $f(f(\cdots f(x)))=p(x)$

Published on 25 Mar 2026 - 6:38

219

Views

Is there any definition of the sum of $n$ summands, when $n$ is not a natural number?

Published on 25 Mar 2026 - 2:49

190

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Is the Schröder Equation valid for higher dimensional iterated maps?

Published on 24 Mar 2026 - 23:07

307

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Find $f(x)$ satisfying $f(f(x))=x^x$

Published on 24 Mar 2026 - 20:37

196

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Fourier transform and fourth root

Published on 25 Mar 2026 - 0:40

32

Views

How can I create currency note count calculator if I have currencies which has decimals and total amount which also has decimals?

Published on 24 Mar 2026 - 23:19

91

Views

Real numbers arbitrary closeness (iterated fraction)

Published on 25 Mar 2026 - 2:07

102

Views

A conjectured identity for the fractional iterates of $\sqrt{x}+2$

Published on 25 Mar 2026 - 4:10

74

Views

Functions $f$ that $f(f(x))=x$, but $f:S^1\to S^1$

Published on 25 Mar 2026 - 2:28

69

Views

Iterative functional equation $f \circ f = f$

Published on 25 Mar 2026 - 0:23

176

Views

Uniquely extended fractional iterations of $\exp$

Published on 24 Mar 2026 - 0:24

32

Views

Maximally connected subset is surjective

Published on 19 Nov 2019 - 12:08

231

Views

A method to iterate the exponential function a non-integer number of times?

Published on 30 Dec 2019 - 17:51

277

Views

nonlinear system of equations solved by iteration method does not converge

Published on 18 Feb 2020 - 23:05

List Question

Functional Square Root of Digit Sum?

Find $f(f(\cdots f(x)))=p(x)$

Is there any definition of the sum of $n$ summands, when $n$ is not a natural number?

Is the Schröder Equation valid for higher dimensional iterated maps?

Find $f(x)$ satisfying $f(f(x))=x^x$

Fourier transform and fourth root

How can I create currency note count calculator if I have currencies which has decimals and total amount which also has decimals?

Real numbers arbitrary closeness (iterated fraction)

A conjectured identity for the fractional iterates of $\sqrt{x}+2$

Functions $f$ that $f(f(x))=x$, but $f:S^1\to S^1$

Iterative functional equation $f \circ f = f$

Uniquely extended fractional iterations of $\exp$

Maximally connected subset is surjective

A method to iterate the exponential function a non-integer number of times?

nonlinear system of equations solved by iteration method does not converge

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