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• Tetration
  and the asymptotic analysis with small parameter \(|1/z|\) determines ...n expansion, the tetration to the complex base should be analyzed. Such an analysis could be matter for the further research. Any independent confirmation (or
  21 KB (3,175 words) - 23:37, 2 May 2021
• Tetre2215.cc
  // but for the serious numerial analysis the number of terms in the expansion should be increased;<br> // and for large values of the imaginary part, the asymptotic representaton should be used instead.
  6 KB (1,030 words) - 18:48, 30 July 2019
• Regular Iteration
  ...fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has an [[asymptotic powerseries development]] at $a$. ...l axis superexponential. (However, the last choice may be not good for the analysis of the dependence of the resulting growing superexponential on value of the
  20 KB (3,010 words) - 18:11, 11 June 2022
• Mathematica
  ...ongest tool for the computation of analytical expressions and asymptotical analysis. The homepage of Wolfram ...orial]], [[Abel Factorial]], etc.; of order of a dozen coefficients of the asymptotic expansion can be calculated analytically in the [[real time]]. (If manually
  12 KB (1,901 words) - 18:43, 30 July 2019
• Yulya function
  For the analysis of the properties Yulya and the building up the efficient approximations fo Asymptotic expansion at small values of the argument has the form
  12 KB (1,754 words) - 18:25, 30 July 2019
• Absorbing Schroedinger
  ==Modal analysis== ==Asymptotic estimate of the guiding efficiency==
  15 KB (2,070 words) - 18:47, 30 July 2019
• BesselJ0
  The asymptotic expansions for [[BesselJ0]] diverge, but are useful for precise evaluation ANALYSIS AND DESIGN OF VERTICAL CAVITY SURFACE EMITTING LASERS.
  6 KB (913 words) - 18:25, 30 July 2019
• BesselH0
  ==Asymptotic expansions== Some expansions of square of [[BesselH0]] look counter-intuitive and require analysis.
  4 KB (509 words) - 18:26, 30 July 2019
• Shoko function
  For the analysis of the Keller function, another superfunction, namely, [[Shoka function]] h ==Asymptotic behavior==
  10 KB (1,507 words) - 18:25, 30 July 2019
• Power function
  and the asymptotic analysis. For \(a_1\!=\!1\), these coefficients can be calculated with the mathemati
  15 KB (2,495 words) - 18:43, 30 July 2019
• Nori
  ==Asymptotic at large argument== Asymptotic of nori at large values of its argument can be written as follows:
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superfunctions
  ...omplex arithmetics, Cauchi integral and the principles of the asymptotical analysis should help at the reading. D.Kouznetsov. Entire function with logarithmic asymptotic. Applied Mathematical Sciences, 2013, v.7, No.131, p.6527-6541.
  15 KB (2,166 words) - 20:33, 16 July 2023
• Amos
  ...cplot.jpg|256px|thumb|\(y\!=\!\mathrm{Amos}(x)\), black curve, and two its asymptotic approximaitons]] For comparison, the two its asymptotic approximations are also plotted with coloured curves.
  6 KB (883 words) - 18:44, 30 July 2019
• AuNem
  ==Asymptotic behaviour of [[AuNem]]== ...lies of the argiment (at least for positive argument) is determined by the asymptotic behaviour of function [[SuNem]] at large negative values of the real part o
  9 KB (1,441 words) - 18:45, 30 July 2019
• AuSin
  ...n of the expansion to the Abel equation and the straightforward asymptotic analysis. While \(G_M\) is asymptotic solution of the Abel equation with sin as the transfer function, the limit
  5 KB (761 words) - 18:48, 30 July 2019
• Base e1e
  For the base \(b=\eta=\exp(1/\mathrm e)\), the asymptotic expansion of the superexponential can be written in the following form: and performing the asymptotic analysis at large \(|z|\).
  4 KB (559 words) - 17:10, 10 August 2020
• Kori
  [[File:Koriasmap.jpg|200px|thumb|Complex map of the asymptotic approximation [[korias]] with \(m\!=\!11\); For large values of the argument, the asymptotic expansion of kori can be written in terms of amplitude and phase, in analog
  14 KB (1,943 words) - 18:48, 30 July 2019
• Lesson of quantum topology
  ...tes strange symbols on board): In such a way, we come to Theorem 5: In the asymptotic representation, the group of pre-rotation of the poly-Grassmann isomorphic ...sense about the infinitely small quantities, it was nonsense; mathematical analysis has not been developed and the derivative had not been defined that time ..
  4 KB (696 words) - 07:02, 1 December 2018
• Lof
  Determines the asymptotic expansion [[Lof]] happened to be useful for the analysis and debugging of implementations of various functions.
  3 KB (478 words) - 18:43, 30 July 2019
• Maga
  The first term in the last expression determines the leading term in the asymptotic expansion of function [[mori]] at the small values of its argument. ...articular, those of function [[kori]], deserve the detailed investigation, analysis and description.
  8 KB (1,256 words) - 18:44, 30 July 2019
• Morinaga function
  or from the asymptotic expansion of function [[kori]]. The asymptotic approximation can be written as follows:
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...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 For the second part, at small \(p\), the asymptotic approximation of function [[mori]] seems to be useful,
  5 KB (750 words) - 10:00, 20 July 2020
• Nemtsov function and its iterates
  Journal of Mathematical Analysis and Applications, D.Kouznetsov. Entire function with logarithmic asymptotic.
  15 KB (2,392 words) - 11:05, 20 July 2020
• Theorem on increment of tetration
  [[Theorem on increment of tetration]] is statement about asymptotic behavior of solution of the [[Transfer equation]] with exponential transfer ...ry part of the growing factor \(K\) and that of the increment \(k\) of the asymptotic solution versus logarithm of the base.
  4 KB (548 words) - 14:27, 12 August 2020