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  • Conjugation
    [[Conjugation]] is certain type of transformation of mathematical objects. This applies both to functions and to numbers.
    6 KB (921 words) - 18:46, 30 July 2019
  • Mathematical notations
    ...to describe the theoretical values of a physical quantity. In this manner, mathematical notation serves as a common language for expressing ideas and results acros ...ers e and <math>\pi</math>, etvetera. Such names form the basics of the '''mathematical notations'''.
    5 KB (753 words) - 18:47, 30 July 2019
  • 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
  • Iterate of exponential
    Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. Both, tet and ate are holomorphic functions; so, the representation above can be used for non-integer \(n\). The expone
    7 KB (1,161 words) - 18:43, 30 July 2019
  • 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
  • Iterate of linear fraction
    All functions \(P\), \(t^n\) and \(Q\) are defined above, and \(f^n\) is expressed in a w ...nction]] and the [[Abel function]] can be expressed in terms of elementary functions. For many cases, instead of to express the [[superfunction]] through the it
    13 KB (2,088 words) - 06:43, 20 July 2020
  • 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
  • File:2015ruble2.jpg
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
    (1,726 × 709 (248 KB)) - 08:26, 1 December 2018
  • File:2015ruble3.jpg
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
    (1,726 × 684 (266 KB)) - 08:26, 1 December 2018
  • File:2016ruble1.jpg
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
    (2,764 × 684 (414 KB)) - 08:27, 1 December 2018
  • File:Ackerplot.jpg
    ...vladie.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
    ...vladie.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
  • File:Analuxp01u400.jpg
    ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006) Parameter $r$ provides the match of the two asymptotics. It is fundamental mathematical constant;
    (2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018
  • File:Nembrant.jpg
    ...mydns.jp/PAPERS/2014susin.pdf D.Kouznetsov. Super sin. Far East Jourmal of Mathematical Science, v.85, No.2, 2014, pages 219-238. ...onstruction of [[exotic iterate]]s; they can be constructed for asymmetric functions too.
    (361 × 871 (65 KB)) - 08:44, 1 December 2018
  • File:Ruble85210a.png
    ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838
    (1,519 × 689 (217 KB)) - 08:50, 1 December 2018

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