List questions from tetration

Published on 22 Feb 2016 - 2:46

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How would you define non-integer tetration?

Published on 22 Feb 2016 - 6:02

10.7k

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Why is exponentiation right associative?

Published on 26 Mar 2026 - 7:57

1.2k

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Proving that if $|W(-\ln z)| < 1$ then $z^{z^{z^{z^...}}}$ is convergent

Published on 27 Feb 2016 - 5:13

396

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Derivation of tetration by iteration

Published on 06 Mar 2016 - 21:13

473

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How fast does this sequence grow?

Published on 07 Mar 2016 - 18:26

156

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Showing that a Hermitian matrix can have eigenvalues that correspond to arbitrary numbers does not prove the Hilbert-Polya conjecture, does it?

Published on 08 Mar 2016 - 16:00

106

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Solving $x^{1/x}=y^{1/y}$ iteratively by power towers, convergence

Published on 11 Mar 2016 - 14:56

270

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Sum of the reciprocal of tetration?

Published on 13 Mar 2016 - 1:54

270

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Last three digits of tetration

Published on 28 Mar 2016 - 11:57

2.7k

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Convergence properties of $z^{z^{z^{...}}}$ and is it "chaotic"

Published on 25 Apr 2016 - 2:20

788

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What is a puiseux series and what is wolfram-alpha doing with this antiderivative?

Published on 06 May 2016 - 0:56

954

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Tetration and Fractions

Published on 09 May 2016 - 18:41

133

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Equality of power towers : $a\uparrow\uparrow m=b\uparrow \uparrow n$

Published on 11 May 2016 - 12:32

233

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The smallest number $m$, such that $m\uparrow \uparrow (n+1)>n\uparrow\uparrow n$

Published on 25 Mar 2026 - 17:21

List Question

Do we know the value of $3 \uparrow\uparrow\uparrow 3$

How would you define non-integer tetration?

Why is exponentiation right associative?

Proving that if $|W(-\ln z)| < 1$ then $z^{z^{z^{z^...}}}$ is convergent

Derivation of tetration by iteration

How fast does this sequence grow?

Showing that a Hermitian matrix can have eigenvalues that correspond to arbitrary numbers does not prove the Hilbert-Polya conjecture, does it?

Solving $x^{1/x}=y^{1/y}$ iteratively by power towers, convergence

Sum of the reciprocal of tetration?

Last three digits of tetration

Convergence properties of $z^{z^{z^{...}}}$ and is it "chaotic"

What is a puiseux series and what is wolfram-alpha doing with this antiderivative?

Tetration and Fractions

Equality of power towers : $a\uparrow\uparrow m=b\uparrow \uparrow n$

The smallest number $m$, such that $m\uparrow \uparrow (n+1)>n\uparrow\uparrow n$

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