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• Superfunctions
  [[Complex map]]: truncated Taylor expansion of abelsine [[AuSin]], Fig.22.2</p></cent At the front cover, the [[complex map]] of [[natural tetration]] is shown.
  15 KB (2,166 words) - 20:33, 16 July 2023
• Linear fuction
  where \(A\) and \(B\) are constants (for example some complex numbers) ...r. As other holomophic functions, the linear function can be iterated even complex number of times.
  2 KB (234 words) - 18:43, 30 July 2019
• Ackermann function
  For given complex number \(b\), called "base", and given integer number \(n\), called "number ...this case is easier to interpret and to apply in physics, than cases with complex \(b\).
  10 KB (1,534 words) - 06:44, 20 July 2020
• Amos
  Below the complex map of function [[Amos]] is shown with lines of its content real part and l ...necessary for [[summation of the asymptotic series]], the extension to the complex plane is essential. For this reason, the special name is required for the h
  6 KB (883 words) - 18:44, 30 July 2019
• ArqNem
  ==Complex maps== Complex maps of function \(\mathrm{ArqNem}_q(z)\) is shown in figures at right for
  7 KB (1,319 words) - 18:46, 30 July 2019
• AuNem
  For \(q\!=\!0\), \(q\!=\!1\) and \(q\!=\!2\), [[complex map]] of function \(\mathrm{AuNem}_q\) is shown in figures 2,3,4. Coefficients \(c\) can be found from the asymptotic analysis of equaiton \(\mathrm{SuNe}_q(\mathrm{AuNe}(z))=0\).
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuSin
  ...n of the expansion to the Abel equation and the straightforward asymptotic analysis. ...nt of this implementation with that of function [[SuSin]] is seen from the complex map of function
  5 KB (761 words) - 18:48, 30 July 2019
• Base e1e
  [[File:Expe1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\eta\!=\!\exp_{\exp(1/\mathrm e)}~\); here \(~u+\math [[File:Loge1emapT1000.jpg|200px|thumb|[[Complex map|Map]] of \(~f\!=\!\log_{\exp(1/\mathrm e)}~\); here \(~u+\mathrm i v=f(
  4 KB (559 words) - 17:10, 10 August 2020
• Kori
  Explicit plot and [[complex map]] of function [[kori]] are shown in figures at right. Kori is [[entire function]], it is holomorphic in the whole complex plane. The zero in the denominator in the definition is compensated with th
  14 KB (1,943 words) - 18:48, 30 July 2019
• Lof
  ...\big(\)[[Factorial]]\((z)\big)~\) , that is holomorphic in the most of the complex \(z\) plane (except \(z\!\le\!-1\)). [[Complex map]] of function [[lof]] is shown in figure at right with lines \(u\!+\!\m
  3 KB (478 words) - 18:43, 30 July 2019
• Maga
  ...st option, the holomorphic properties of the functions involved (and their complex maps) should be analysed. ...tation indicates the way of holomorphic extension of function [[maga]] for complex values of the argument \(z\); the appropriate paths of integration should b
  8 KB (1,256 words) - 18:44, 30 July 2019
• Mathematics of Computation
  numerical analysis, computational discrete mathematics, number theory, algebra, combinatorics, D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670.
  2 KB (344 words) - 07:02, 1 December 2018
• Morinaga function
  Below, the [[complex map]] of the [[Morinaga function]] is compared to that of function [[Bessel ...errors limit the range of applicability of this expansion. With double (or complex double) variables, with \(M\!=\!16\) , while last term with coefficient \(c
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  For complex \(p\), expression ...cation mentioned above refers only to the real values of the argument. The analysis of the holomorphic properties of the functions involved is supposed to reve
  5 KB (750 words) - 10:00, 20 July 2020
• NemBran
  ...[Nemtsov function]] \(\mathrm{Nem}_q\) versus parameter \(q\). While, only analysis for the real \(q\) is presented. For real \(q\) function \(\mathrm{Nem}_q\) ...ns should be implemented in the most of the complex plane, id est, for the complex argument.
  3 KB (400 words) - 18:48, 30 July 2019
• Alien in a foreign sea 1
  - I was not focused on financial analysis, - Riven said. ...the island of Katav, there is a university and a campus - an architectural complex resembling a cluster of frozen bubbles of a mud geyser (the analogy is corr
  367 KB (65,743 words) - 15:48, 1 February 2019
• Meganesia.Deportation
  This makes the analysis of his texts difficult. For this reason, for the analysis, the English version is more suitable; the English characters are easy to i
  143 KB (24,042 words) - 12:47, 3 April 2021
• Nemtsov function and its iterates
  The Superfunction, Abelfunction and iterates \(\mathrm{Nem}_q^n\) for complex \(n\) are constructed. G. Szekeres. Regular iteration of real and complex functions. Acta Mathematica, September 1958, Volume 100, Issue 3, pp 203-25
  15 KB (2,392 words) - 11:05, 20 July 2020
• Mystic weakness
  The «[[Mystic weakness]]» is important for the analysis of historic events ...re was a real threat that a lot of serious guys in the military-industrial complex would be removed from the feeder. In the face of this obvious threat, the a
  24 KB (2,765 words) - 11:40, 8 March 2024
• Hellmuth Kneser
  ...s involving Dirichlet energies and the surface measure, we perform a local analysis of strictly convex portions of the boundary via second order shape derivati BRIAN LEHMANN AND JIAN XIAO. CORRESPONDENCES BETWEEN CONVEX GEOMETRY AND COMPLEX GEOMETRY. (2019)
  12 KB (1,732 words) - 14:01, 12 August 2020

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