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  • File:AcipmapTjpg.jpg
    ...ble function ACip5 should be called. other functions are good only for the special case.
    (1,759 × 1,746 (661 KB)) - 09:41, 21 June 2013
  • File:AcipmapTpng.png
    ...ble function ACip5 should be called. other functions are good only for the special case.
    (844 × 838 (199 KB)) - 09:41, 21 June 2013
  • File:AcosqqplotT.png
    through functions [[acosq]] (or [[ArcCosq]]); it is expressed as; ...presses the decay constant of mode guided between absorbing waves, see the special article
    (1,686 × 1,823 (148 KB)) - 09:41, 21 June 2013
  • File:ArcCipMapT.jpg
    ...ble function ACip5 should be called. other functions are good only for the special case.
    (1,759 × 1,746 (661 KB)) - 09:41, 21 June 2013
  • File:B271a.png
    H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issue 2, p.31-4
    (1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018
  • File:Besselj1mapT080.png
    [[Category:Special functions]]
    (2,056 × 1,048 (1.72 MB)) - 09:42, 21 June 2013
  • File:Expc.jpg
    D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. [[Category:Mathematical functions]]
    (941 × 852 (48 KB)) - 18:39, 11 July 2013
  • File:ExpIte4T.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (1,673 × 1,673 (901 KB)) - 08:35, 1 December 2018
  • File:Logi1a345T300.png
    ...on-integer iterates of the [[logisticOperator]] are calculated through the functions [[LogisticSequence]] and [[ArcLogisticSequence]] with where [[logisticOperator]] is quadratic functin of special kind,
    (1,636 × 565 (184 KB)) - 08:41, 1 December 2018
  • File:Superfactorea500.png
    I did not prepare the special implementation for the real values of the argument; so, for the real plots, [[Category:Holomorphic functions]]
    (575 × 748 (50 KB)) - 00:06, 29 February 2024
  • File:Exp1mapT200.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,281 × 1,179 (1.14 MB)) - 12:37, 28 July 2013
  • File:Exp09mapT200.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,281 × 1,179 (1.23 MB)) - 12:28, 28 July 2013
  • File:Exm01mapT200.jpg
    The complex double implementations [[FSEXP]] and [[FSLOG]] of these functions are used in the [[C++]] code below. ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188.
    (2,281 × 1,179 (834 KB)) - 12:52, 28 July 2013
  • File:Exm05mapT200.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,281 × 1,179 (705 KB)) - 12:54, 28 July 2013
  • File:Exm09mapT200.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,281 × 1,179 (560 KB)) - 12:56, 28 July 2013
  • File:Exm1mapT200.jpg
    ...-4/S0273-0979-1993-00432-4.pdf Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    (2,281 × 1,179 (544 KB)) - 12:47, 28 July 2013
  • File:2014ruble15t.png
    ...he abscissa axis). Totally, 7 parameters are used to approximate the three functions. ...invited to construct better approximations for the same data with special functions (less parameters or less mean-square deviation).
    (693 × 680 (110 KB)) - 08:26, 1 December 2018
  • File:Ackerplot.jpg
    ...ls.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...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
    ...ls.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...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:Analuxp01t400.jpg
    ...this figure, $u$ and $v$ are [[logamplitude]] and [[phase]] of the plotted functions; not the real and imaginary parts, as usually. ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006)
    (2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018

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