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• Trappmann function
  ...ered as a serious obstacle at the building-up its [[superfunction]], the [[Abel function]] and the non–integer [[iterate]]s of function Tra. According to the general statement by <ref name="factorial">
  9 KB (1,320 words) - 11:38, 20 July 2020
• Zooming equation
  ...various functions can be constructed also with the [[superfunction]] and [[Abel function]], considering the [[transfer equation]] instead of the [[zooming D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. Moscow University Physics Bulletin, 2010, v.65, No.1, p.6-12. (Russian ver
  10 KB (1,627 words) - 18:26, 30 July 2019
• SuTra
  D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. Moscow University Physics Bulletin, 2010, v.65, No.1, p.6-12. (Russian ver ...e function of SuTra, id est, [[AuTra]]\(=\)SuTra\(^{-1}\), satisfies the [[Abel equation]]
  9 KB (1,285 words) - 18:25, 30 July 2019
• AuFac.cin
  ...Fac]], id est, ([[ArcSuperFactorial]]), id est, the [[Abel function]] of [[Factorial]]. In wide ranges of values of z, \(\rm AuFac(Sufac(z))\!=\!z~\) and \(~\rm ...lFactorial]] [[Category:Factorial]] [[Category:SuperFactorial]] [[Category:Abel function]] [[Category:C++]]
  2 KB (137 words) - 18:46, 30 July 2019

• File:AbelFacMapT.png [[Complex map]] of function [[Abel factorial]] $\mathrm{AbalFactorial}(z)=\mathrm{Factorial}^z(3)$ (1,412 × 1,395 (372 KB)) - 17:17, 25 September 2013

• File:AbelFactorialMap.png [[Category:Abel functions]] [[Category:Factorial]] (675 × 673 (120 KB)) - 08:28, 1 December 2018

• File:AbelFactorialR.png [[Arcfactorial]] is inverse function of [[Factorial]] [[AbelFactorial]] $G$ is solution of the [[Abel equation]] (1,060 × 705 (34 KB)) - 09:39, 21 June 2013

• File:Elutin1a4tori.jpg ...be obtained from the representation of the [[superfunction]] $F$ and the [[Abel function]] $G$: <ref name="factorial"> (922 × 914 (62 KB)) - 09:38, 21 June 2013

• File:FacIteT.jpg [[Iteration]]s of function [[Factorial]]; $y=\mathrm{Factorial}^n(x)$ (2,093 × 2,093 (795 KB)) - 08:35, 1 December 2018

• Superfunctions
  The Abel function (or abelfunction) is the inverse of superfunction, \(G=F^{-1}\) The abelfunction is solution of the Abel equation
  15 KB (2,166 words) - 20:33, 16 July 2023

• File:AbelFacMapT.jpg [[Category:Abel function]] [[Category:Factorial]] (4,704 × 4,649 (1.81 MB)) - 08:28, 1 December 2018

• File:E1eAuMap600.jpg [[Complex map]]s of the [[abel function]] of the [[exponent]] to the [[Henryk base]] \newcommand \fac {\mathrm{Factorial}} (3,543 × 5,338 (1.57 MB)) - 08:34, 1 December 2018

• File:QFacMapT.jpg [[Complex map]] of [[square root of factorial]], id est, half iterate of [[factorial]]: $u\!+\!\mathrm i v\!=\!\mathrm{Factorial}^{1/2}(x\!+\!\mathrm i y)= (1,771 × 1,748 (936 KB)) - 08:48, 1 December 2018

• Ackermann function
  ...her solution of the [[transfer equation]], nor that of the corresponding [[Abel equation]] is unique. The additional conditions are required to evaluate th ...ontent/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81,
  10 KB (1,534 words) - 06:44, 20 July 2020
• Conjecture on superfunctions
  ...(z))=SuSin(z+1). The Abel function AuSin is constructed as solution of the Abel equation AuSin(sin(z))=AuSin(z)+1; in wide range of values z, the relation D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. Moscow University Physics Bulletin, 2010, v.65, No.1, p.6-12. (Russian ver
  7 KB (1,031 words) - 03:16, 12 May 2021
• SuSin
  D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. Moscow University Physics Bulletin, 2010, v.65, No.1, p.6-12. (Russian ver ==Abel function of sin==
  15 KB (2,314 words) - 18:48, 30 July 2019
• Суперфункции
  ...мула (7.28)|| \(\displaystyle F(z)=\lim_{n\rightarrow \infty} \mathrm{Factorial|}^n(\tilde F(z\!-\!n))\) || \(\displaystyle F(z)=\lim_{n\rightarrow \infty} ...4, последний абзац|| что \(\mathrm {SuFac}(3)\!=\!\mathrm{Factorial}^z(3)\) и, соответственно, || что
  19 KB (1,132 words) - 20:36, 16 July 2023
• Nemtsov function and its iterates
  functions: for factorial by <ref name="fac"> D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial.
  15 KB (2,392 words) - 11:05, 20 July 2020

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