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• Holomorphic extension of the Collatz subsequence
  [[Category:Mathematical functions]]
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  ...he [[Abel function]] is considered as principal, as it allows to deal with functions that have no real fixed points (and, perhaps, no fixed points at all). ...periodicity may have the [[Abel function]] $~G=F^{-1}~$. However, the Abel functions, corresponding at different [fixed points]] have no need to have the
  20 KB (3,010 words) - 18:11, 11 June 2022
• Yurii Shirokov
  ...y]] (Moscow) in 1948. Worked in the same university, then in the [[Steklov Mathematical Institute]] (Moscow). He wrote more than 100 scientific papers ==Algebra of generalized functions==
  5 KB (730 words) - 07:07, 1 December 2018
• Logarithm
  and is denoted with symbol \(\ln\) in [[mathematical notations]]; ...number larger than unity. If the base is not \(\mathrm e\), then in the [[mathematical notations]] the symbol "log" is used; the base is indicated as subscript:
  4 KB (661 words) - 10:12, 20 July 2020
• Nest
  ==Iteration of functions== ...ed, yet, such representation cannot be used even to plot graphics of these functions for non-integer number of iterates.
  3 KB (438 words) - 18:25, 30 July 2019
• ArcTetration
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], v.81, p.65- D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issue 2, p.31-45.
  7 KB (1,091 words) - 23:03, 30 November 2019
• Fixed point
  ...] offers the table of evaluations of some fixed points for some elementary functions [[Category:Mathematical functions]]
  4 KB (574 words) - 18:26, 30 July 2019
• Mathematics
  :[[Mathematical statistics]] ...lgorithms. There exist special programming languages for simplification of mathematical deduction; the most popular are [[Mathematica]] and [[Maple (software)|Mapl
  3 KB (405 words) - 04:09, 1 July 2020
• Complex map
  In [[TORI]], the complex maps are used for illustration many functions, and in particular, those that yet are underrepresented in the literature: [[Category:Mathematical functions]]
  2 KB (254 words) - 06:59, 1 December 2018
• Mathematica
  simplification of mathematical expressions, solving equations, evaluation of functions, plotting graphics and other things that require some [[mathematics]]. ...e coefficients for the approximation for the [[superfunctions]] and [[Abel functions]] using the expansions in vicinity of the [[Fixed point]]s; in particular,
  12 KB (1,901 words) - 18:43, 30 July 2019
• Yulya function
  [[Category:Mathematical functions]] [[Category:Elementary functions]]
  12 KB (1,754 words) - 18:25, 30 July 2019
• Tania function
  ==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
• Doya function
  ...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
• Table of superfunctions
  In any pair of holomorphic functions \(F\), \(G\!=\!F^{-1}\), | [[cosinus]], [[trigonometric functions]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Square root of exponential
  ...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
• Iteration
  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
• Natural tetration
  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
• Physical quantities
  ...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
• Singapore 2011
  ...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
• Квадратный корень из факториала
  ...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

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