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• Lof
  Determines the asymptotic expansion [[Lof]] happened to be useful for the analysis of the asymptotic behaviour of the [[Hermite Gauss mode]]s, [[oscillator function]]s, and in
  3 KB (478 words) - 18:43, 30 July 2019
• Maga
  ...term in the last expression determines the leading term in the asymptotic expansion of function [[mori]] at the small values of its argument. The goal is to calculate the asymptotic expansion of function [[maga]] at small values of its argument, (\(\,|p| \!\ll\! 1\,\
  8 KB (1,256 words) - 18:44, 30 July 2019
• Morias.cin
  // [[Morias.cin]] is complex double implementation in [[C++]] of the asymptotic approximation [[morias]] of the [[Morinaga function]] for large values of t // [[Category:Asymptotic expansion]] [[Category:Bessel function]] [[Category:C++]] [[Category:Morinaga functio
  2 KB (188 words) - 07:03, 1 December 2018
• Morinaga function
  ==Expansion at zero== Expansion at zero of the [[Morinaga function]] can be written as follows:
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  For the second part, at small \(p\), the asymptotic approximation of function [[mori]] seems to be useful, ...oximations for the coefficients \(f\) and \(g\) follow from the asymptotic expansion of the [[Hankel function]];
  5 KB (750 words) - 10:00, 20 July 2020
• Nemtsov function
  ...uish this iterate from other iterates, constructed, for example, using the asymptotic behaviour of the [[Nemtsov function]] (and its iterates) at infinity. with specific asymptotic behaviour at infinity, namely,
  14 KB (2,157 words) - 18:44, 30 July 2019
• Nemtsovapq.txt
  [[Nemtsovapq.txt]] is [[C++]] code, related to the asymptotic expansion of function [[SuNem]]
  15 KB (2,041 words) - 18:48, 30 July 2019
• Radial equation for hydrogen atom
  Seach for the solution \(F(x)=\exp(-kx) f(x)\), that takes into account the asymptotic behaviour of the solution at \(x\gg 1\), assuming, that \(k^2=\varepsilon\) Here, \(a\) are dimensionless coefficients of expansion; they should not be confused with the [[Bohr radius]] \(a\). The last expre
  8 KB (1,199 words) - 18:45, 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. ...squared result of function [[HankelH0]] of square root of parameter of the expansion is copypasted below.
  2 KB (325 words) - 18:44, 30 July 2019
• Special function
  ...or with other special functions, defined earlier; even if the relation is asymptotic or approximate. 4. [[Asymptotic expansion]]s; for example, that at zero and that at infinity.
  7 KB (991 words) - 18:48, 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. ==Expansion at zero==
  15 KB (2,314 words) - 18:48, 30 July 2019
• Sunema.txt
  ...h Mathematica for the precise evaluation of coefficients of the asymptotic expansion of [[superfunction]] of the [[Nemtsov function]]. Global variable Q is para
  118 KB (10,288 words) - 18:46, 30 July 2019
• Sunemco.txt
  // [[sunemco.txt]] is [[C++]] code used for evaluation of the asymptotic expansion of function [[SuNem]]
  118 KB (10,290 words) - 07:06, 1 December 2018
• Nemtsov function and its iterates
  D.Kouznetsov. Entire function with logarithmic asymptotic. some supplementary requirements on the asymptotic behaviour of \(F\) and/or \(G\) are applied in order to provide the uniquen
  15 KB (2,392 words) - 11:05, 20 July 2020
• Shell-Thron region
  can be evaluated through its asymptotyc expansion at large values of the real part of its argument, ...es of argument of the [[tetration]]. Then, the appropriate requirements on asymptotic behavior of [[tetration]] are postulated in order to provide its uniqueness
  7 KB (1,082 words) - 07:03, 13 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

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