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• Superlogarithm
  ...ames of routines for elementary functions coincide with the names of these functions. [[Category:Abel function]]
  1 KB (173 words) - 19:31, 30 July 2019
• Superpower
  The two real-holomorphic superpower functions are considered here: For \(a\!=\!2\), the explicit plots of these two functions are shown in figure 1 at right.
  6 KB (903 words) - 18:44, 30 July 2019
• Iterate of exponential
  Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. ...is [[superfunction]] of [[exponent]], and [[Arctetration]] ate, that is [[Abel function]] of exponent, the \(n\)th iteration can be expressed as follows:
  7 KB (1,161 words) - 18:43, 30 July 2019
• Iterate of linear fraction
  All functions \(P\), \(t^n\) and \(Q\) are defined above, and \(f^n\) is expressed in a w and the interse function \(G=F^{-1}\) appears as the [[Abel function]].
  13 KB (2,088 words) - 06:43, 20 July 2020
• Linear fraction
  The corresponding [[Abel function]] \(t=g^{-1}\) can be expressed as follows: With superfunction \(f\) by (16) and [[Abel function]] \(g\) by (17), the iterate of \(t\) can be written in the usual
  5 KB (830 words) - 18:44, 30 July 2019
• Superfunctions
  ...on]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions. Non-integer iterates of holomorphic functions.<br>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Linear fuction
  The corresponding [[Abel function]] can be expressed as follows: the superfunction and the Abel function in the standard way,
  2 KB (234 words) - 18:43, 30 July 2019
• Ackermann function
  The first ackermann functions have special names: ...lysis]] are based on the first 3 [[ackermann functions]] and their inverse functions in various combinations.
  10 KB (1,534 words) - 06:44, 20 July 2020
• AdPow
  [[AdPow]] is specific [[Abelpower]] function, id est, the specific [[Abel function]] for the [[Power function]]. For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (271 words) - 18:43, 30 July 2019
• ArqNem
  The branch points for all inverse functions of the [[Nemtsov function]] \(\mathrm {Nem}_q\) are the same. ...tion of the Nemtsov function happen to be suitable for construction of the Abel function [[AuNem]] of the [[Nemtsov function]] and the corresponding [[iter
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  [[AuNem]] is [[Abel function]] of the [[Nemtsov function]], \(\mathrm{Nem}_q(z)=z+z^3+q z^4 ~ ~ \(G=\mathrm{Nem}_q\) is solution of the [[Abel equation]] for the transfer function \(T=\mathrm{Nem}_q\) :
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuPow
  [[AuPow]] is specific [[Abelpower]] function, id est, the specific [[Abel function]] for the [[Power function]]. For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.1
  2 KB (284 words) - 18:43, 30 July 2019
• Base e1e
  ...], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions. ...of the [[fixed point]]s and behaviour of the [[superfunction]]s and the [[Abel function]]s are pretty different for the similar values of base \(b\) ment
  4 KB (559 words) - 17:10, 10 August 2020
• Base sqrt2
  [[Base sqrt2]] is article about functions that refer to base \(b=\sqrt{2}\). its [[superfunction]] and the corresponding [[Abel function]].
  3 KB (557 words) - 18:46, 30 July 2019
• 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 ...(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
  7 KB (1,031 words) - 03:16, 12 May 2021
• Eigendecomposition
  ...lgorithm for dimensions greater than 4 must either be infinite, or involve functions of greater complexity than elementary arithmetic operations and fractional
  4 KB (518 words) - 18:46, 30 July 2019
• Elementary function
  ...ion of the first three [[Ackermann function]]s functions and their inverse functions. The first three ackermann functions are
  3 KB (496 words) - 18:45, 30 July 2019
• Exotic iteration
  [[Exotic iteration]] refers to the construction of [[superfunction]], the [[Abel function]] and corresponding iterates of the transfer function \(T\) at its ...of regular iteration, while the iterates are regular (id est, holomorphic) functions at least in some vicinity of the fixed point.
  11 KB (1,715 words) - 18:44, 30 July 2019
• NemBra
  ...nctions [[ArcNem]] and [[ArkNem]] gives the unnecessary cut lines of the [[Abel function]] [[Abel function]],
  4 KB (618 words) - 18:46, 30 July 2019
• NemBran
  ...ch, in its turn, necessary for evalution of function [[AuNem]], which is [[Abel function]] for the [[Nemtsov Function]]. Functions [[SuNem]] and [[AuNem]] are used to express the non-integer iterates of the
  3 KB (400 words) - 18:48, 30 July 2019

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