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• Factorial
  M.Abramowitz and I.Stegun: Handbook of Mathematical Functions. 6. Gamma Function and Related Functions (2010) The American Mathematical Monthly, Vol. 103, No. 3 (Mar., 1996), pp. 214-220, http://www.jstor.org/p
  27 KB (3,925 words) - 18:26, 30 July 2019
• Tetration
  ...the last argument; the use with any expression, different from an integer constant, causes the error message. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
  21 KB (3,175 words) - 23:37, 2 May 2021
• Mapping
  D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...the graphical smoothness of the plot at the picture cannot substitute the mathematical proof.
  14 KB (2,275 words) - 18:25, 30 July 2019
• Superfunction
  ...nction <math>T</math> (which is called [[Transfer function]]) and for some constant <math>t</math>, the superfunction \(F\) could be defined with expression ...tion <math>T</math>, such as addition of a constant or multiplication by a constant,
  25 KB (3,622 words) - 08:35, 3 May 2021
• Square root of factorial
  D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...argument is expresed with (or can be simplified to) a [[natural number]], constant. The intents to use the Nest function with any other expressions as the las
  13 KB (1,766 words) - 18:43, 30 July 2019
• Holomorphic extension of the Collatz subsequence
  where \(\varepsilon=\exp(kz)\) , and \(k\in \mathbb R\) is constant. Then, [[Category:Mathematical functions]]
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  for some constant $~k~$ and some constant coefficients $~a~$. ...\varepsilon^n + o(\varepsilon^N)$ , where $\varepsilon=\exp(kz) ~ $, $k=$constant!-->
  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 |journal=[[Theoretical and Mathematical Physics|TMF]]
  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
  ...ct: the number of iterations should allow the simplification to an integer constant. The intents to call function [[Nest]] with any other expression as the las ...case, while the number of iteration can be simplified to positive integer constant, the built-in function Nest is usable; for example, expression \(~\mathrm{N
  3 KB (438 words) - 18:25, 30 July 2019
• Fixed point
  \(\sigma\) is unique up to a multiplicative constant and is called the [[Schröder coordinates]] of \(f\) at 0. ...real number is approximated as ratio of some integer number to the integer constant that is the same for all numbers. To avoid confusions, the term [[fixed poi
  4 KB (574 words) - 18:26, 30 July 2019
• Mathematica
  simplification of mathematical expressions, solving equations, evaluation of functions, plotting graphics ...\) is allowed only for an integer values of \(c\) (reducible to an integer constant); any other value causes the error messages.
  12 KB (1,901 words) - 18:43, 30 July 2019
• Tania function
  ...ts (and outside the cut lines), the grid of the lines of constant real and constant imaginary part looks similar to that of the [[identity function]]. This ind E.M.Wright. Solutions of the equation \(ze^z=z\). Bulletin of the American Mathematical Society 65, p. 89-93 (1959)
  27 KB (4,071 words) - 18:29, 16 July 2020
• Table of superfunctions
  | [[constant]] D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  XINZHI LIU. Stability of Impulsive Control Systems with Time Delay. Mathematical and Computer Modelling 39 (2004) 511-519. ...Iteration of meromorphic functions. Bulletin (New Series) of the American Mathematical society, v.29, No.2 (1993) p.151-188.
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  in the lower half-plane. See the spacial article [[Filog]] about this constant. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45, In Russian. English version:<br>
  14 KB (1,972 words) - 02:22, 27 June 2020
• Iterated integral
  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
• Wakame
  ...her her relatives and friends; so, their names are also good to denote the mathematical constants. ...e called [[Homer-Simpson function]]s and, correspondently, [[Homer-Simpson constant]]s.
  4 KB (581 words) - 18:25, 30 July 2019
• Sazae-san constants
  <!--Several mathematical constants need to have names.!--> ...are bumbered, beginning with unity; so, if the subscript of the Sazae-san constant is omitted, and it not specified that the notation refers to the array of c
  4 KB (495 words) - 18:47, 30 July 2019
• Bessel function
  Abramovitz, Stegun. Handbook on mathematical functions. http://dlmf.nist.gov/10.9 Digital library of mathematical functions
  13 KB (1,592 words) - 18:25, 30 July 2019

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