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• Factorial
  The coefficients of this expansion are copypasted in the table below: <math>z!=\sum_{n=0}^{N-1} g_n z^n+\mathcal{O}(z^N)~</math> . The first coefficients of this expansion are copypasted in the table below:
  27 KB (3,925 words) - 18:26, 30 July 2019
• Tetration
  the coefficients \(c\) in the polynomials above. In particular, \(\beta = b\!-\! \exp(1/\mathrm e)\); the coefficients \(c\) of this expansion can be estimated fitting the evaluations of tetrati
  21 KB (3,175 words) - 23:37, 2 May 2021
• Abel theorem
  ...he roots of a general equation of degree greater than four in terms of the coefficients involving the operations of addition, subtraction, multiplication, division For some reason, Alekseev numerates the coefficients beginning with the last one.
  2 KB (320 words) - 18:25, 30 July 2019
• Holomorphic extension of the Collatz subsequence
  ...repsilon\) gives the equation for \(k\) and the chain of equations for the coefficients \(a\),
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  for some constant $~k~$ and some constant coefficients $~a~$. for some constant coefficients $a$ ; usually, especially for [[real-holomorphic]] Transfer function $T$, i
  20 KB (3,010 words) - 18:11, 11 June 2022
• Stochastic conjecture
  ...o guess a number representable as a linear function of \(X\) with rational coefficients. The set of such numbers has measure zero.
  2 KB (368 words) - 18:27, 30 July 2019
• SuperFactorial
  It is convenient to set \(a_1=1~\). Then other coefficients \(a\) and constant \(k\) can be determined substituting such a representati ...he power series with respect to \(\varepsilon\) and equalizing to zero the coefficients gives the equation for \(K\) and those for \(a_2\), \(a_3\), .. For example
  18 KB (2,278 words) - 00:03, 29 February 2024
• Transfer function
  ...perfunction can be expressed with (10), and the possible solutions for the coefficients can be expressed as follows:
  11 KB (1,644 words) - 06:33, 20 July 2020
• Active mirror
  ...ine represents the qualitative estimate <math>\beta=s^{1/3}</math> without coefficients. Circles corresponds to the experimental data for the power achieved and co
  15 KB (2,320 words) - 14:31, 20 June 2013
• Mathematica
  ...ation]], [[SuperFactorial]], [[Abel Factorial]], etc.; of order of a dozen coefficients of the asymptotic expansion can be calculated analytically in the [[real ti ...he [[Cylindric function]] should be parameter of expansion; over-vice, the coefficients of the resulting expansion may be wrong.
  12 KB (1,901 words) - 18:43, 30 July 2019
• Tania function
  ...[Mathematica]] '''Series''' routine easy calculates some tens of the first coefficients of the expansion.
  27 KB (4,071 words) - 18:29, 16 July 2020
• Doya function
  where \(\varepsilon=\exp(kx)\); \(k\) and coefficients \(a\) are parameters that might depend on \(t\), but not on \(x\). This \(\ ...es to the Transfer Equation gives value of increment \(k=\exp(t)\) and the coefficients
  19 KB (2,778 words) - 10:05, 1 May 2021
• Fourier transform
  and \(c\) are arbitrary complex coefficients; the sequence \(c\) should decay quickly enough to provide the convergence
  11 KB (1,501 words) - 18:44, 30 July 2019
• Quantum Mechanics
  ...t. The parameters that determine these processes are callet the [[Einstein coefficients]].
  7 KB (1,006 words) - 18:26, 30 July 2019
• Iterated integral
  ...tegration is linear operation; at least for real \(n>-1\), for any complex coefficients \(\alpha\) and \(\beta\)
  9 KB (1,321 words) - 18:26, 30 July 2019
• ArcCip
  the coefficients \(b\) can be evaluated inverting the expansion for Cip, that gives
  8 KB (1,211 words) - 18:25, 30 July 2019
• ArcSin
  Table of coefficients of this expansion: For some positive integer \(M\). The first 21 coefficients \(c_0 .. c_{20}\) of this expansion are the in the table below:
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  With [[Mathematica]] software one can calculate many coefficients of this expansion. The series seems to converge while \(~\left|\frac{1}{z}\ With [[Mathematica]] software one can easy calculate a dozen coefficients of this expansion and evaluate them.
  4 KB (509 words) - 18:26, 30 July 2019
• ArcCosc
  For calculations and evaluation of the coefficients of this expansion, it is convenient to deal with
  8 KB (1,137 words) - 18:27, 30 July 2019
• BesselJ0
  Coefficients of the expansions above can be calculated and verified with the [[Mathemati
  6 KB (913 words) - 18:25, 30 July 2019

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