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• ArcTra
  However the independent implementation of ArcTra can be arranged using its asymptotic properties. where \(g_0\) is one of the truncated series of the previous sections;
  10 KB (1,442 words) - 18:47, 30 July 2019
• AuTra
  ==Asymptotic expansion== ...AuTra for large negative values of the argument can be obtained, inverting series for function [[SuTra]].
  6 KB (1,009 words) - 18:48, 30 July 2019
• Nori
  As nori is entire function, it can be expanded to convergent Taylor series in any point. In particular, the expansion at its first zero appears as ...ic integration with exponential; so, the representation with the truncated series above can be useful for the evaluation of the [[Fourier integral]]s with fu
  13 KB (1,759 words) - 18:45, 30 July 2019
• 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
• Amplitude of oscillator function
  ...ymptotic expansions of various functions with the oscillator function, the asymptotic behaviour of ...ymptotic approximation are shown in figure at right, together with two its asymptotic approximations.
  6 KB (770 words) - 18:44, 30 July 2019
• Applied Mathematical Sciences
  http://www.springer.com/series/34 Series Editors: Greengard, L., Keener, J., Matkowsky, B., Peskin, C., Stevens, A.,
  4 KB (610 words) - 06:58, 1 December 2018
• 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
  More coefficient are supplied in the Discussion. The series converges at \(~|t|\!<\!\pi/2~\). with 40 terms taken into account, the truncated series returns of order of 14 significant figures.
  5 KB (761 words) - 18:48, 30 July 2019
• Exotic iteration
  For some fixed natural number \(M>0\), the asymptotic expansion of the superfunction \(f\) can be constructed as follows: ReplaceAll[Series[f[m, -1/x + 1] - T[f[m, -1/x]], {x,0,m+2}], v[m-1]]]
  11 KB (1,715 words) - 18:44, 30 July 2019
• Kneser expansion
  [[Kneser expansion]] is asymptotic representation of superexponential constructed at its fixed point. s0 = ReplaceAll[Series[Exp[f0],{e,0,M}] - f1, Exp[L]->L];
  2 KB (325 words) - 22:50, 15 August 2020
• Kori
  As kori is entire function, the Taylor series absolutely converge at any value of the argument. [[File:Koriasmap.jpg|200px|thumb|Complex map of the asymptotic approximation [[korias]] with \(m\!=\!11\);
  14 KB (1,943 words) - 18:48, 30 July 2019
• Morinaga function
  The series seem to converge at any \(x\), as function mori has no singularities; it is or from the asymptotic expansion of function [[kori]].
  15 KB (2,303 words) - 18:47, 30 July 2019
• Series
  ...m, that is defined as limit of sum, is it converges, and as way to get the asymptotic approximations, if diverge. ...in the [[Mathematica]] language that calculate certain amount of terms of series in the first meaning.
  2 KB (325 words) - 18:44, 30 July 2019
• SuNem
  Also, the specific asymptotic behaviour at infinity is assumed, ==Asymptotic expansion==
  6 KB (967 words) - 18:44, 30 July 2019
• SuSin
  This asymptotic behaviour can be used for the evaluation. and so on. The use of asymptotic of SuSin allows to evaluate it at large values of the real part of the argu
  15 KB (2,314 words) - 18:48, 30 July 2019
• Nemtsov function and its iterates
  W.Bergweiler. Iteration of meromorphic functions. Bulletin (New Series) of the American Mathematical society, v.29, No.2 (1993) p.151-188.</ref><r D.Kouznetsov. Entire function with logarithmic asymptotic.
  15 KB (2,392 words) - 11:05, 20 July 2020

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