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• Kneser expansion
  [[Kneser expansion]] is asymptotic representation of superexponential constructed at its fixed point. While in this article, only the special natural superexponential is considered. In this case, the fixed point is
  2 KB (325 words) - 22:50, 15 August 2020
• Superlogarithm
  ...m{ate}=\mathrm{tet}^{-1}\), reminding that it is [[inverse function]] of [[SuperExponential]]. [[Category:SuperExponential]]
  1 KB (173 words) - 19:31, 30 July 2019
• Difapro.cin
  ...o.cin]] is [[C++]] approximation of deviation between the two descending [[superexponential]]s to [[base sqrt2]]. */ «[[Superexponential]]»,
  3 KB (292 words) - 08:23, 13 December 2025
• Base e1e
  and corresponding [[exponential]], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions. At base \(beta\), there exist no real fixed points, and the superexponential is supposed to approach the complex fixed points \(L\) and \(L^*\) at the
  4 KB (559 words) - 17:10, 10 August 2020
• Sqrt2f45e.cin
  // superexponential to base \( \sqrt{2} \)
  1 KB (112 words) - 13:42, 7 July 2020
• Sqrt2f23e.cin
  ...[Sqrt2f23e.cin]] suggests routine F21E for evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\).
  2 KB (146 words) - 18:47, 30 July 2019
• Exponential
  Any [[Superfunction]] of exp is called [[SuperExponential]]. [[SuperExponential]] appears as solution \(F\) of the [[Transfer equation]]
  5 KB (799 words) - 22:51, 8 December 2025
• Base sqrt2
  [[Tetration]] to base \(b\) and other [[superexponential]]s to base \(b\) In addition to tetration, another real-holomorphic [[superexponential]]s to base \(b=\sqrt{2}\) can be constructed.
  3 KB (557 words) - 18:46, 30 July 2019
• Square root of exponential
  http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, «[[Superexponential]]»,
  6 KB (878 words) - 12:50, 14 December 2025
• Theorem on increment of tetration
  http://www.vmj.ru/articles/2010_2_4.pdf D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issu
  4 KB (548 words) - 14:27, 12 August 2020
• Fsexp.cin
  D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,
  9 KB (663 words) - 04:08, 19 July 2025
• Regular Iteration
  ...ay be not good for the analysis of the dependence of the resulting growing superexponential on value of the base $b$ in the interval $1\!<\!b\!<\!\exp(1/\mathrm e)$ ). ...qrt{2}$, whlle $L\!=\!2$ for the tetrational and $L\!=\!4$ for the growing superexponential) is considered in
  20 KB (3,010 words) - 18:11, 11 June 2022
• Sandbox
  A function \(F\) is a ''[[superexponential]]'' (a [[superfunction]] of \(T_b\)) if A [[tetration]] to real base \(b\) is real-holomorphic superexponential \(F\)
  14 KB (2,018 words) - 12:07, 13 December 2025
• Maps of tetration
  D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,
  5 KB (761 words) - 12:00, 21 July 2020
• Квадратный корень из факториала
  http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,
  6 KB (312 words) - 18:33, 30 July 2019
• Precision
  Superexponential \( F_{2,3}\) is constructed with [[Regular iteration]] of \( \exp_b \) Superexponential \( F_{4,3}\) is constructed with [[Regular iteration]] of \( \exp_b \)
  10 KB (1,491 words) - 18:09, 11 June 2022
• Tetration
  A function \(F\) is a ''[[superexponential]]'' (a [[superfunction]] of \(T_b\)) if A [[tetration]] to real base \(b\) is real-holomorphic superexponential \(F\)
  16 KB (2,243 words) - 16:50, 13 December 2025
• Pentation
  http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,
  5 KB (803 words) - 18:48, 30 July 2019
• Tetration to base 2
  ...upper halfplane, [[tetration to base 2]] approaches the displaced [[Kneser superexponential]] [[Tek]]\(_2\),
  6 KB (845 words) - 17:10, 23 August 2020
• Natural tetration
  ...irection of the imaginary axis reduces the range of holomorphism of such a superexponential, destroying its apymptotic approach to \(L\) and \(L^*\). D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,
  14 KB (1,972 words) - 02:22, 27 June 2020

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