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• Trappmann function
  ...t it is entire elementary function. The Trappmann function is example of [[holomorphic function]] without [[fixed point]]s, suggested in year 2011 by [[Henryk Tra ...</ref>, it is possible to construct at least one [[superfunction]] for any holomorphic function. Therefore, the consideration of the Trappmann function as [[trans
  9 KB (1,320 words) - 11:38, 20 July 2020
• C++
  In order to follow the descriptions of functions and to reproduce and to modify the figures suggested, the installing of C++ ...enerates the [[contour plot]]s; and in particular, the [[complex map]]s of functions of compex variables
  4 KB (608 words) - 15:01, 20 June 2013
• Schroeder equation
  Usially, it is assumed that \(s\!=\!T'(0)\), and both, \(T\) and \(g\) are holomorphic at least in some vicinity of zero. </ref>; their functions are pretty different.
  8 KB (1,239 words) - 11:32, 20 July 2020
• Fractional iterate
  [[Fractional iterate]] is concept used to construct non-integer iterates of functions. For a given function \(~T~\), [[holomorphic function|holomorphic]] in vicinity of its [[fixed point]] \(~L~\), the function
  2 KB (272 words) - 18:25, 30 July 2019
• Zooming equation
  ...d that \(K\) is positive real number, id est, \(K>0\), and \(T\) is real–holomorphic, G. Szekeres. Regular iteration of real and complex functions.
  10 KB (1,627 words) - 18:26, 30 July 2019
• AuTra
  [[AuTra]] is real-holomorphic, \(\mathrm{AuTra}(z^*)=\mathrm{AuTra}(z)^*\) ...uired to plot the camera-ready pictures of the complex maps of the related functions.
  6 KB (1,009 words) - 18:48, 30 July 2019
• Nori
  Identifier [[nori]] is used in TORI to denote holomorphic function, that in vicinity of the real axis \(\Re(z\ge 0\)) can be expresse [[nori]] is entire holomorphic function.
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superpower
  The two real-holomorphic superpower functions are considered here: For \(a\!=\!2\), the explicit plots of these two functions are shown in figure 1 at right.
  6 KB (903 words) - 18:44, 30 July 2019
• Julia set
  Let \(f\) be holomorphic function defined at some \(C\in \mathbb C\). Iteration of meromorphic functions.
  4 KB (630 words) - 18:44, 30 July 2019
• Conjugation
  Complex conjugation is not a [[holomorphic function]]. This applies both to functions and to numbers.
  6 KB (921 words) - 18:46, 30 July 2019
• Iterate of exponential
  Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188. Both, tet and ate are holomorphic functions; so, the representation above can be used for non-integer \(n\). The expone
  7 KB (1,161 words) - 18:43, 30 July 2019
• Iterate of linear fraction
  All functions \(P\), \(t^n\) and \(Q\) are defined above, and \(f^n\) is expressed in a w ...nction]] and the [[Abel function]] can be expressed in terms of elementary functions. For many cases, instead of to express the [[superfunction]] through the it
  13 KB (2,088 words) - 06:43, 20 July 2020
• Linear fraction
  ...as usually, the additional conditions on the asymptotic behavior of these functions is required in order to make the non-integer iterate unique. [[Holomorphic function]]
  5 KB (830 words) - 18:44, 30 July 2019
• Superfunctions
  ...on]]s, [[superfunction]]s, and the non-integer [[iterate]]s of holomorphic functions. Non-integer iterates of holomorphic functions.<br>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Linear fuction
  ...e number \(n\) of iteration has no need to be integer. As other holomophic functions, the linear function can be iterated even complex number of times. [[Holomorphic function]],
  2 KB (234 words) - 18:43, 30 July 2019
• Ackermann function
  D.Kouznetsov. Evaluation of holomorphic ackermanns. Applied and Computational Mathematics. Vol. 3, No. 6, 2014, pp. The first ackermann functions have special names:
  10 KB (1,534 words) - 06:44, 20 July 2020
• Amplitude of oscillator function
  For the asymptotic expansions of various functions with the oscillator function, the asymptotic behaviour of as well as the modifications for similar cases, it worth to treat it as holomorphic suction of complex argument \(n\).
  6 KB (770 words) - 18:44, 30 July 2019
• Approximations of ruble
  ...n yen, USA cents and Euro cents, with [[holomorphic function|holomorphic]] functions of time. Various approximations with elementary functions with 3 parameters had been considered. Approximation with ellipses happened
  18 KB (2,080 words) - 13:48, 1 February 2022
• ArqNem
  Aiming the application in the physical science, the real-holomorphic solutions are of special interest. One of them is ArqNem. The branch points for all inverse functions of the [[Nemtsov function]] \(\mathrm {Nem}_q\) are the same.
  7 KB (1,319 words) - 18:46, 30 July 2019
• Base sqrt2
  [[Base sqrt2]] is article about functions that refer to base \(b=\sqrt{2}\). The logarithm is holomorphic in the complex plane with cut along the negative part of the real axis.
  3 KB (557 words) - 18:46, 30 July 2019

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