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  • File:AbelFactorialMap.png
    [[Category:Abel functions]]
    (675 × 673 (120 KB)) - 08:28, 1 December 2018
  • File:AbelFactorialR.png
    [[AbelFactorial]] $G$ is solution of the [[Abel equation]] [[Category:Abel functions]]
    (1,060 × 705 (34 KB)) - 09:39, 21 June 2013
  • File:B271a.png
    ...mathrm{ate}$ is inverse of [[tetration]] and holomorphic solution of the [[Abel equation]] H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
    (1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018
  • File:Elutin1a4tori.jpg
    ...be obtained from the representation of the [[superfunction]] $F$ and the [[Abel function]] $G$: [[Category:Mathematical functions]]
    (922 × 914 (62 KB)) - 09:38, 21 June 2013
  • File:Esqrt2iterMapT.png
    at the [[fixed point]] $L\!=\!4$, and the [[Abel function]] $G=F^{-1}$, the functions $F$ and $G$ are called $F_{4,5}$ and $F_{4,5}^{~-1}$.
    (1,092 × 1,080 (1.36 MB)) - 09:43, 21 June 2013
  • File:IterPowPlotT.png
    is the [[Abel Function]]. ...e can be expressed in the closed form through the same function. For other functions, such a representation may be not available.
    (2,093 × 2,093 (680 KB)) - 20:50, 28 September 2013
  • File:Logi1a345T300.png
    ...on-integer iterates of the [[logisticOperator]] are calculated through the functions [[LogisticSequence]] and [[ArcLogisticSequence]] with [[Category:Abel function]]
    (1,636 × 565 (184 KB)) - 08:41, 1 December 2018
  • File:PowIteT.jpg
    is the [[Abel function]]. ...e can be expressed in the closed form through the same function. For other functions, such a representation may be not available.
    (2,093 × 2,093 (1.01 MB)) - 08:46, 1 December 2018
  • File:Ackerplot.jpg
    ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
    (2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018
  • File:Ackerplot400.jpg
    ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
    (3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018
  • File:Apow2ma4.jpg
    Two complex maps of the real-holomorphic [[abelpower]] functions, The two real–holomorphic solutions $G$ of the [[Abel equation]]
    (1,779 × 879 (616 KB)) - 08:29, 1 December 2018
  • File:Aupow2map.jpg
    [[Category:Abel functions]]
    (2,175 × 2,158 (906 KB)) - 08:30, 1 December 2018
  • File:AuPow2Plot.jpg
    Explicit plof of two [[abelpower]] functions: [[Category:Abel function]]
    (1,577 × 1,469 (219 KB)) - 08:30, 1 December 2018
  • File:Boyt.jpg
    ...(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 rela- tio Super sin and the Abel sin functions, id est, [[SuSin]] and [[AuSin]], are used to evaluate the high iteration o
    (5,105 × 2,449 (1.17 MB)) - 08:31, 1 December 2018
  • File:Boyt100.jpg
    ...(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 rela- tio ...(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 rela- tio
    (3,473 × 1,646 (467 KB)) - 08:31, 1 December 2018
  • File:Logic4T.jpg
    With this value parameter $c\!=\!4$, the [[superfunction]] $F$ and the [[Abel function]] $G$ can be expressed in terms of elementary functions; this case can be used for the testing of the numerical implementation of t
    (2,195 × 2,208 (1.66 MB)) - 08:42, 1 December 2018
  • File:Nembrant.jpg
    ...Nem]]; this function, in its turn, is necessary for the extension of the [[Abel function]] of the [[Nemtsov function]], denoted with [[AuNem]], to the comp [[Superfunction]] and [[Abel Function]] of [[sin]] are denoted with [[SuSin]] and [[AuSin]].....
    (361 × 871 (65 KB)) - 08:44, 1 December 2018
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