Search results

Create the page "Self-Fourier functions" on this wiki! See also the search results found.

• Superfunction
  In particular, the [[Ackernann functions]] and [[tetration]] can be interpreted in terms of [[superfunction]]s. ...ns came from the application to the evaluation of fractional iterations of functions.
  25 KB (3,622 words) - 08:35, 3 May 2021
• Natural pentation
  [[File:Penplot.jpg|300px|thumb|\(y=\mathrm{pen}(x)\) and related functions.]]
  7 KB (1,090 words) - 18:49, 30 July 2019
• Square root of factorial
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ( H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  13 KB (1,766 words) - 18:43, 30 July 2019
• Abel theorem
  The Abel theorem above seems to have nothing to do with the [[Abel functions]] nor the [[Abel equations]]. The references about original works by Abel about the [[Abel functions]] are wanted; they should be cited in the articles [[superfunction]] and [[
  2 KB (320 words) - 18:25, 30 July 2019
• Wiki
  ...e.org/tetrationforum/index.php (dedicated to the [[tetration]] and similar functions).
  6 KB (899 words) - 07:07, 1 December 2018
• 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
  ==Algebra of generalized functions== |title = Algebra of one-dimensional generalized functions
  5 KB (730 words) - 07:07, 1 December 2018
• Stochastic conjecture
  ...ber]] expressed with finite combination of rational numbers and elementary functions.
  2 KB (368 words) - 18:27, 30 July 2019
• SuperFactorial
  ...roduct, the [[SuperFunction]] of Factorial and that for some other special functions are considered there. ...be the simplest among various SuperFunctions of Factorial, if one exclude functions that are identically equal to a constant.
  18 KB (2,278 words) - 00:03, 29 February 2024
• Transfer equation
  [[Category:Abel functions]]
  3 KB (519 words) - 18:27, 30 July 2019
• Abel function
  The non-integer iteration of function allows to express such functions as Sequently, the Abel functions are also different.
  4 KB (547 words) - 23:16, 24 August 2020
• Transfer function
  [[File:KellerDoyaT.png|300px|thumb|Transfer functions of laser amplifiers with simple kinetics for the short pulses ([[Keller fun H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  11 KB (1,644 words) - 06:33, 20 July 2020
• Abel equation
  Most of commonly used functions can be declared as [[transfer function]]s, and the corresponding [[Abel fun ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], '''81''', p
  4 KB (598 words) - 18:26, 30 July 2019
• Navier-Stokes equation
  Functions \(P\) and \(\vec f\!=\!\vec f(x)\) are supposed to be given; \(\nabla\) dif
  7 KB (1,149 words) - 18:26, 30 July 2019
• Navier-Stokes from variational principle
  where \(u_k\) are assumed to be functions of \(x_1, x_2, x_3\) ; \(k\) and \(j\) and \(i\) take integer values from
  5 KB (737 words) - 18:26, 30 July 2019
• Logarithm
  [[Category:Elementary functions]]
  4 KB (661 words) - 10:12, 20 July 2020
• Taylor–Green vortex
  ...periods are \(\{2\pi,0,0\}\) and \(\{0,2\pi,0\}\). The velovities \(u\) as functions of coordinates \(x\) are defined as follows: [[Category:Periodic functions]]
  2 KB (292 words) - 18:26, 30 July 2019
• Exact solutions of Navier-Stokes
  ...on of the [[Navier-Stokes equation]] can be expressed in term of [[special functions]]. In principle, any function can be declared as "special", if its specific ...t solution of the Navier-Stokes]] refers to the non-trivial combonation of functions \(\vec u=\vec u(\vec x)\) and \(p=p(\vec x)\) such that
  4 KB (620 words) - 18:25, 30 July 2019
• Proof:Noeter theorem
  ...(y=x+\chi\), the derivatives of the transformed field can be espressed as functions of the old coordinates:
  9 KB (1,358 words) - 18:27, 30 July 2019

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)