Question

How to compute the upper (repelling) fixpoint for $b^x=x$ ($1<b<1.44$) - using the LambertW?

score 116 · Answer 1 · 2017-10-07 03:19:18

116

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How to compute the upper (repelling) fixpoint for $b^x=x$ ($1<b<1.44$) - using the LambertW?

Published on 07 Oct 2017 - 3:19

score 323 · Answer 2 · 2017-10-09 17:39:13

323

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score 2k · Answer 3 · 2017-10-10 21:44:55

2k

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648

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score 134 · Answer 6 · 2017-11-04 15:11:17

134

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Series of the form $\sum_{n=1}^\infty \frac{1}{ ^{s}n}$ where $^{s}n$ is the tetration of $n$

Published on 04 Nov 2017 - 15:11

score 106 · Answer 7 · 2017-11-06 07:14:27

106

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$i_a = (i_b + i_c + 1)/2$ and $f(x) = f(x - f(x-1)) /2$?

Published on 06 Nov 2017 - 7:14

score 206 · Answer 8 · 2017-11-10 18:05:24

206

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function ${\displaystyle \varphi }$ such that ${\displaystyle \varphi (\varphi (u))=\exp(u)}$

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score 91 · Answer 9 · 2017-11-12 23:32:23

91

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Tetration with 0 < #s < 1?

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score 583 · Answer 10 · 2017-11-21 21:33:49

583

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score 57 · Answer 11 · 2017-12-06 01:42:24

57

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score 282 · Answer 12 · 2026-03-25 23:38:47

282

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score 62 · Answer 13 · 2017-12-07 16:16:36

62

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Published on 07 Dec 2017 - 16:16

score 82 · Answer 14 · 2017-12-08 09:38:46

82

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Is it hard to find out for which $r$ the infinite power tower $r\uparrow r \uparrow r\uparrow \cdots$ converges?

Published on 08 Dec 2017 - 9:38

score 1.7k · Answer 15 · 2017-12-08 13:00:37

1.7k

Views

Taylor series for tetration

Published on 08 Dec 2017 - 13:00

List Question

How to compute the upper (repelling) fixpoint for $b^x=x$ ($1<b<1.44$) - using the LambertW?

Addition, Multiplication, Exponentiation, Tetration. Iterated functions.

How to solve 2 tetrated 0.5 times?

Solutions of $a^{a^x}=x$ for fixed $a>0$

Can tetration 'escape' the complex plane?

Series of the form $\sum_{n=1}^\infty \frac{1}{ ^{s}n}$ where $^{s}n$ is the tetration of $n$

$i_a = (i_b + i_c + 1)/2$ and $f(x) = f(x - f(x-1)) /2$?

function ${\displaystyle \varphi }$ such that ${\displaystyle \varphi (\varphi (u))=\exp(u)}$

Tetration with 0 < #s < 1?

Is tetration and quintation etc. of infinite cardinals well defined?

How can one simplify $\frac{\ln(4)}{W(\ln(4))}$ to get $2$?

How to determine $n$, such that $x\uparrow \uparrow n>10^{100}$?

Number of steps to get an error less than $\epsilon$?

Is it hard to find out for which $r$ the infinite power tower $r\uparrow r \uparrow r\uparrow \cdots$ converges?

Taylor series for tetration

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