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• Factorial
  The Tailor expansion of <math>z!</math> at the point <math>z=\nu_0</math> can be writen ax follo The coefficients of this expansion are copypasted in the table below:
  27 KB (3,925 words) - 18:26, 30 July 2019
• Tetration
  In partucular, the "new expansion" ...ox \! \exp(1/{\rm e})\), \(z\!\approx 0\), then it is expandable into the Taylor series
  21 KB (3,175 words) - 23:37, 2 May 2021
• Holomorphic extension of the Collatz subsequence
  ...)\) and \(F(k\!+\!1)\) into the equation above, and the expansion to the [[Taylor series]] with respect to \(\varepsilon\) gives the equation for \(k\) and t
  5 KB (798 words) - 18:25, 30 July 2019
• Tania function
  In order to simplify the expansion at the branchpoints (see below), the cut lines are directed to the left, pa ===Expansion of Tania at infinity===
  27 KB (4,071 words) - 18:29, 16 July 2020
• ArcCos
  Each of the values above can be used to construct the simple Taylor expansion, suitable for the approximations. Although the ArcCos of real argument is i ===Expansion of ArcCos at the branch point===
  5 KB (754 words) - 18:47, 30 July 2019
• Acosc1
  ...n the truncation, overlap pretty well with exact acosc1, and also with the expansion at zero below. The expansion at zero can be written as follows:
  6 KB (896 words) - 18:26, 30 July 2019
• BesselJ0
  ==Expansion at zero== The straightforward Taylor expansion at zero can be written as follows:
  6 KB (913 words) - 18:25, 30 July 2019
• Shoko function
  At small values of the argument, the [[Shoko function]] expands to the Taylor series as follows: Many Taylor coefficients of the expansion can be calculated with some [[Mathematica]] or [[Maple software]]; the seri
  10 KB (1,507 words) - 18:25, 30 July 2019
• SuZexTay0co.cin
  // Coefficients of the Taylor expansion at zero of function [[SuZex]].
  3 KB (107 words) - 15:01, 20 June 2013
• SuZex approximation
  ==Taylor expansion at zero== Fig.3. [[Taylor approximation]] (4) with 48 terms; \(!u\!+\!\mathrm i v= P_{48}(x\!+\!\math
  14 KB (2,037 words) - 18:25, 30 July 2019
• SuZex.cin
  // Coefficients of the Taylor expansion at zero of function [[SuZex]]. Furst ten values seem to be precize. ...bs(z) < 1.6 ) return SuZexTay0(z) ; // I made the Taylor expansion for this case
  12 KB (682 words) - 07:06, 1 December 2018
• Nori
  ==Expansion at zero== if evaluated with complex double variables, the first 24 terms of this expansion provide of order of 15 correct decimal digits for \(|z|<8\).
  13 KB (1,759 words) - 18:45, 30 July 2019
• Superfunctions
  [[Complex map]]: truncated Taylor expansion of abelsine [[AuSin]], Fig.22.2</p></center></small>
  15 KB (2,166 words) - 20:33, 16 July 2023
• Gennady S. Bisnovatyi-Kogan
  Now about 200 of such objects are known. The first one, the Hulse-Taylor 66. Early stages of relativistic fireball expansion. Phys.Rev.D 1995, 52, 4380-4392 (with M.V. Murzina)
  18 KB (2,496 words) - 07:00, 1 December 2018
• Kori
  ==Expansion at zero== As kori is entire function, the Taylor series absolutely converge at any value of the argument.
  14 KB (1,943 words) - 18:48, 30 July 2019
• Russian invasion into Ukraine, links
  ...upying positions in case there is such resistance, armed aggression, armed expansion from Kiev,” the head of the State Duma’s committee for relations with e ...ident Barack Obama? Of course not, just as it should not be blamed on NATO expansion, the Iraq war or Western interventions to stop mass atrocities in the Balka
  342 KB (13,538 words) - 18:47, 30 July 2019
• Vladinaiv49.cin
  ...proximation of natural [[tetration]], implemented in [[C++]] as the Taylor expansion at zero with 50 terms. //[[Category:Tetration]] [[Category:Book]] [[Category:C++]] [[Category:Taylor series]]
  2 KB (101 words) - 14:55, 12 July 2020
• Российское вторжение в Украину, линки
  ...upying positions in case there is such resistance, armed aggression, armed expansion from Kiev,” the head of the State Duma’s committee for relations with e ...ident Barack Obama? Of course not, just as it should not be blamed on NATO expansion, the Iraq war or Western interventions to stop mass atrocities in the Balka
  343 KB (13,572 words) - 18:48, 30 July 2019
• Tetration to base 2
  ...r expansion]] for large values of imaginary part of the argument and two [[Taylor expansions]] for moderate values of the imaginary pat of the argument, in a Also, the imlementation in [[Mathematica]], based on the [[modified Kneser expansion]]
  6 KB (845 words) - 17:10, 23 August 2020