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• Tetration
  Natural [[tetration]] (dashed) and other [[Ackermann function|ackermanns]] [[Tetration]] (or Tetrational) \({\rm tet}_b\) to base \(b \in \mathbb R\), \(b\!>1\)<br>
  21 KB (3,175 words) - 23:37, 2 May 2021
• Regular Iteration
  '''Regular Iteration''' or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vi ...d the fractional iterates, regular at different fixed points, have no need to coincide <ref name="sqrt2">
  20 KB (3,010 words) - 18:11, 11 June 2022
• Transfer function
  ...ansfer equation]], the [[Abel equation]]; the transfer function is assumed to be given function that appear in these equations. The solutions of these eq ...r a given transfer function, the additional restrictions should be applied to make the [[superfunction]] and the [[Abel function]] unique
  11 KB (1,644 words) - 06:33, 20 July 2020
• B271az.cc
  // showing the [[complex map]] of [[ArcTetration]] to base e. fprintf(o,"46 45 translate\n 10 10 scale\n");
  3 KB (529 words) - 14:32, 20 June 2013
• Tania function
  ...aniaT.png|350px|right|thumb| Comparison of [[Tania function]] (thin curve) to the [[Shoka function]] (thick curve) for real values of the argument]] ...maginary axis and then along the straight line (parallel to the real axis) to the point \(z\).
  27 KB (4,071 words) - 18:29, 16 July 2020
• Doya function
  ...for comparison of superfunctions \(F\) for various cases, it is convenient to keep relation \(F(0)=1\) (as it is accepted for [[tetration]], which is [[superfunction]] of [[exponential]]); for this reason, the [[T
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  is called [[superfunction]] with respect to \(T\). ...se function, id est, \(G=F^{-1}\) is called [[Abel function]] with respect to \(T\); it satisfies the [[Abel equation]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  The zeroth iteration of any non-trivial function is supposed to be [[Identity function]]. Similar notations, where the superscript is used to indicate the number of iterate is used also in [[quantum mechanics]] and th
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  \(\mathrm{tet}(x),\mathrm e^x,10(\mathrm{tet}(x)-(x\!+\!1))\) [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\).
  14 KB (1,972 words) - 02:22, 27 June 2020
• Tetration to Sheldon base
  ...g|500px]]<small> Explicit plot of real and imaginary parts of tetration to base \(b\!=\!s\)</small> [[File:Shelima600.png|500px]]<small>Distribution of tetration to \(b\!=\!s\) along the imaginary axis</small>
  5 KB (707 words) - 21:33, 13 July 2020
• Iterated Cauchi
  The specific choice of the contour allows to express values f(t) through the left hans side of (9) with the Transfer equ A. integration along the line \(\Re(t)=1\) from \(t = 1−\mathrm i A\) to \(t = 1+\mathrm i A\),<br>
  6 KB (987 words) - 10:20, 20 July 2020
• SuZex approximation
  ...imations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale. Also, it is assumed that the solution \(F=\mathrm{SuZex}\) decays to the stationary point 0 of the transfer function \(T\) by (1) at infinity, e
  14 KB (2,037 words) - 18:25, 30 July 2019
• F2048ten.inc
  ...[[F2048ten.inc]] defines the approximations of [[tetration]] to base \(b=10\) along the imaginary axis at the interval (-20,20) in 2048 nodes of the qu // perhaps, Aten=20, and NPO =2048; NPO is supposed to be defined in GLxw.
  89 KB (7,127 words) - 18:46, 30 July 2019
• F4ten.cin
  ...rking directory) and the [[Transfer equation]] for the exponential to base 10 as [[transfer function]]. DB Lten=log(10.);
  2 KB (287 words) - 15:03, 20 June 2013
• Superfunctions
  In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented. ISBN-10: 3659562025
  15 KB (2,166 words) - 20:33, 16 July 2023
• Base e1e
  [[Base e1e]] refers to the value of base \(b= \eta =\exp(1/\mathrm e)\approx 1.4446678610\) ...corresponding [[exponential]], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions.
  4 KB (559 words) - 17:10, 10 August 2020
• E1etf.cin
  // [[e1etf.cin]] is routine that evaluates [[tetration to Henryk base]] \(\eta=\exp(1/\mathrm e)\). s[3]= t*(t*(t- 5/ 2.)+ 5/ 2.)- 7/10.;
  2 KB (203 words) - 18:48, 30 July 2019
• Sqrt2f21e.cin
  // [[Sqrt2f21e.cin]] suggests routine F21E for evaluation of [[tetration]] to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F
  1 KB (109 words) - 18:48, 30 July 2019
• Sqrt2f23e.cin
  ...sts routine F21E for evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F
  2 KB (146 words) - 18:47, 30 July 2019
• Tartaria.Math
  ==Example with [[tetration]] to integer base for integer arguments== Is \( Y \) an integer factor of 10?
  3 KB (338 words) - 09:54, 14 January 2020

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