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• Tetration
  The method with the Cauchi equation ...algorithm is suggested, that seems to be mode efficient, than the [[Cauchi integral]] described in the Book.
  21 KB (3,175 words) - 23:37, 2 May 2021
• Natural pentation
  ...so, for the real–holomorphic superpentation, the method of the [[Cauchi integral]] can be applied, the same, used to construct and evaluate the [[natural te
  7 KB (1,090 words) - 18:49, 30 July 2019
• Natural tetration
  Natural tetration can be evaluated with the [[Iterated Cauchi]] algorithm M. H. Hooshmand, (2006). "Ultra power and ultra exponential functions". Integral Transforms and Special Functions 17 (8): 549–558. %doi:10.1080/1065246050
  14 KB (1,972 words) - 02:22, 27 June 2020
• Iterated integral
  '''Iterated integral''' of function \(f\) is function \(J^n f\) expressed with iteration of inte ==Cauchi representation for the iterated integration==
  9 KB (1,321 words) - 18:26, 30 July 2019
• Tetration to Sheldon base
  ...ent way of the precise evaluation of \(\mathrm{tet}_s\) through the Cauchi integral equation <ref name="moc1">
  5 KB (707 words) - 21:33, 13 July 2020
• GLxw2048.inc
  ...tegration. This file is used in the generators of figures for the [[Cauchi integral]] implementation of the [[tetration]] to complex base and to base \(b>\exp(
  108 KB (1,626 words) - 18:46, 30 July 2019
• Iterated Cauchi
  '''Iterated Cauchi''' is algorithm of iterative solution of the [[Transfer equation]] ==The Cauchi integral==
  6 KB (987 words) - 10:20, 20 July 2020
• AuZex
  The general claim is that through the [[Cauchi integral]] or with [[redular iteration]] of with its modification, the [[superfuncti
  6 KB (899 words) - 18:44, 30 July 2019
• Zooming equation
  ...by Helmuth Kneser in 1950, and in 2011, the solution through the [[Cauchi integral]] and the [[superfunction]] had been suggested.
  10 KB (1,627 words) - 18:26, 30 July 2019
• F2048ten.inc
  ...egory:Tetration to base 10]] [[Category:Gauss-Legendre]] [[Category:Cauchi integral]] [[Category:C++]]
  89 KB (7,127 words) - 18:46, 30 July 2019
• F4ten.cin
  ...[[C++]] routine for evaluation of [[tetration]] to base 10 by the [[Cauchi integral]], using its values along the imaginary axis stored at [[f2048ten.inc]] (th // The integral is evaluated using the [[Gauss-Legendre]] quadrature formula; the nodes and
  2 KB (287 words) - 15:03, 20 June 2013
• Maps of tetration
  [[Cauchi integral]] is used for evaluation. It is described in [[Mathematics of Computation]] The evaluation uses almost the same algorithm of the Cauchi integral <ref name=analuxp>
  5 KB (761 words) - 12:00, 21 July 2020
• Интегральная формула Коши
  [[Интегральная формула Коши]] ([[Cauchy integral]]) выражает значение голоморфной функции Cauchy Integral Formula
  16 KB (821 words) - 14:42, 21 July 2020
• Tet2f2048.inc
  // This file is required for evaluation of the function with the [[Cauchi integral]].
  87 KB (5,167 words) - 07:06, 1 December 2018
• Superfunctions
  ...ated formulas, but some basic knowledge of the complex arithmetics, Cauchi integral and the principles of the asymptotical analysis should help at the reading. ...2\pi \mathrm i} \oint \frac{F(t) \, \mathrm d t}{t-z}\) \(~ ~ ~\) [[Cauchi integral]]
  15 KB (2,166 words) - 20:33, 16 July 2023
• F2048b15.inc
  //[[Category:Tetration]] [[Category:Cauchi integral]] [[Category:C++]] [[Category:Book]] [[Category:AMS]]
  87 KB (5,181 words) - 18:48, 30 July 2019
• TetSheldonIma.inc
  ...line in the direction of the imaginary axis, calculated with the [[Cauchi integral]]
  98 KB (5,162 words) - 07:06, 1 December 2018
• Vladif5c.cin
  ...n [[C++]] for evaluation of the natural [[tetration]] through the [[Cauchi integral]], using the displaced contour.
  3 KB (439 words) - 07:06, 1 December 2018
• Юмор про интеграл
  [[Cauchi integral]],
  968 bytes (25 words) - 07:38, 1 December 2018
• Shell-Thron region
  ...ate \( \mathrm{tet}_b \), although the representation through the [[Cauchi integral]] still works In particular, the representation of [[tetration]] through the [[Cauchi integral]] <ref name="analuxp"/> can be used for the [[Sheldon base]], specific valu
  7 KB (1,082 words) - 07:03, 13 July 2020
• Cauchy integral
  ...orphic function that expresses its value at some point through the contour integral that encloses this point. It is assumed, that there all contour and the are ...s. In particular, the representation of [[tetration]] through the [[Cauchy integral]] allows the efficient evaluation of [[tetration]]
  2 KB (320 words) - 15:14, 21 July 2020
• Tetration to base 2
  ...primary implementation of [[Tetration to base 2]] is based on the [[Cauchi integral]]
  6 KB (845 words) - 17:10, 23 August 2020