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  • [[Category:Mathematical functions]] [[Category:Elementary functions]]
    12 KB (1,754 words) - 18:25, 30 July 2019
  • ==Relation to other special functions== According to the Axiom [[TORI]] number 6, the simplest among related functions should be considered as principal, primary. From this axiom, it follows, th
    27 KB (4,071 words) - 18:29, 16 July 2020
  • ...ng with real numbers. However, the difference become clearly seen is these functions are plotted in the complex plane. ...ermined by the two parameters \(P_{\rm sat}\) and \(t\) through the known functions Doya and Tania. Such a model seems to be applied, in particular, for the [[
    19 KB (2,778 words) - 10:05, 1 May 2021
  • In any pair of holomorphic functions \(F\), \(G\!=\!F^{-1}\), | [[cosinus]], [[trigonometric functions]]
    11 KB (1,565 words) - 18:26, 30 July 2019
  • ...s of the [[SuperFactorial]] and [[AbelFactorial]] (or "ArcSuperFactorial") functions. ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], '''81''', p
    5 KB (750 words) - 18:25, 30 July 2019
  • Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188 XINZHI LIU. Stability of Impulsive Control Systems with Time Delay. Mathematical and Computer Modelling 39 (2004) 511-519.
    14 KB (2,203 words) - 06:36, 20 July 2020
  • The pair of functions \(\mathrm {tet}\) and \(\mathrm{ate}\) The non–integer iterations of exponential give the class of functions that grow faster than any polynomial but slower than any exponential.
    14 KB (1,972 words) - 02:22, 27 June 2020
  • ...is important), in analogy with property [[periodicity]] of functions in [[mathematical analysis]]. Each periodic process can be interpreted as [[clock]], id set,
    3 KB (464 words) - 14:33, 20 June 2013
  • ...ed presentation and hard discussion of the superfunctions and the transfer functions of laser amplifiers (uniqueness of the superfunction, the range of applicab ...ion to the Jerome Moloney group (University of Arizona, Arizona center for mathematical science).
    8 KB (1,147 words) - 18:44, 30 July 2019
  • ...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 ( ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    6 KB (312 words) - 18:33, 30 July 2019
  • Applied Mathematical Sciences, Vol. 4, 2010, no. 21, p.1021-1032. Keith B.Oldham, Jerome Spainer. The fractional calculus. Mathematical science and engineering, Vol. 111, Academic Press 1974.
    9 KB (1,321 words) - 18:26, 30 July 2019
  • ...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 ( ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    7 KB (381 words) - 18:38, 30 July 2019
  • //Other functions defined below provide approximations for various parts of the complex plane ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
    9 KB (654 words) - 07:00, 1 December 2018
  • Four mathematical constants are defined above. In order to avoid confusions with single–let Knowledge of these constants simplifies evaluation of functions [[ArcCosc]] and [[ArcCohc]].
    8 KB (1,137 words) - 18:27, 30 July 2019
  • ==[[Sazae-san functions]] and related constants== ...15 decimal digits are used in the numerical implementation of the related functions.
    4 KB (581 words) - 18:25, 30 July 2019
  • [[File:SazaeconT.png|600px|right|thumb|Graphics of functions [[cohc]] and [[cosc]] ]] ...ma and singularities of functions [[cosc]] and [[coshc]] and their inverse functions:
    4 KB (495 words) - 18:47, 30 July 2019
  • Many formulas about the Bessel functions below are borrowed from the handbook by [[Abramowirtz,Stegun]] Abramovitz, Stegun. Handbook on mathematical functions.
    13 KB (1,592 words) - 18:25, 30 July 2019
  • While no mathematical proof of uniqueness is available, it should be assumed that the function wi ...quence and its inverse functions can be expressed in terms of [[elementary functions]],
    7 KB (886 words) - 18:26, 30 July 2019
  • Bulletin of the Americal Mathematical Society, v. 65, p.89-93 (1959). For this reason, both functions, [[Tania function]] and [[WrightOmega]] are used in [[TORI]].
    4 KB (610 words) - 10:22, 20 July 2020
  • ...letters (and sometimes, also [[numerical digit]]s) used to identify the [[mathematical function]]s. ...in order to distinguish it/him/her from other element of the same set. For functions, the name is especially important because it allows to denote the complicat
    6 KB (901 words) - 18:27, 30 July 2019

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