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Create the page "Analytic extension" on this wiki! See also the search results found.

• Mapping
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, http://www.springerlink.com/content/u712vtp4122544x D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p
  14 KB (2,275 words) - 18:25, 30 July 2019
• Place of science in the human knowledge
  ...d it for book “[[New Insights into Physical Science]]”. I suggest this extension here. D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation
  100 KB (14,715 words) - 16:21, 31 October 2021
• Square root of factorial
  ...nsider the simple example of the [[logistic operator]] and the holomorphic extension of the [[logistic sequence]] D.Kouznetsov. Holomorphic extension of the logistic sequence. [[Moscow University Physics Bulletin]], 2010, No.
  13 KB (1,766 words) - 18:43, 30 July 2019
• Holomorphic extension of the Collatz subsequence
  The holomorphic extension of \(h\) is suggested. The holomorphic extension \(F\) of the sequence, generated with such a transfer function, is construc
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  ...an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has an [[asymptotic powerseries development]] at $a$. D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p
  20 KB (3,010 words) - 18:11, 11 June 2022
• Japan
  </ref>. Also, the holomorphic extension of [[tetration]] is done in Japan <ref name="tete"> ...www.ams.org/mcom/2009-78-267/S0025-5718-09-02188-7/home.html D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation
  15 KB (2,106 words) - 13:37, 5 December 2020
• Doya function
  ...the evaluation efficient (id est, fast end precise) and predetermines the analytic properties of the Doya function. !--> D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  ...//www.springerlink.com/content/u712vtp4122544x4/ D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p | [[Holomorphic extension of the Collatz subsequence|Collatz subsequence]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Square root of exponential
  ...> http://www.ils.uec.ac.jp/~dima/PAPERS/2009analuxpRepri.pdf D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. [[Mathematics of Computati ...//www.springerlink.com/content/u712vtp4122544x4/ D.Kouznetsov. Holomorphic extension of the logistic sequence. [[Moscow University Physics Bulletin]], 2010, No.
  5 KB (750 words) - 18:25, 30 July 2019
• Квадратный корень из факториала
  ...://www.springerlink.com/content/u712vtp4122544x4 D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p ...ink.com/content/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae,
  6 KB (312 words) - 18:33, 30 July 2019
• Корень из факториала
  ...://www.springerlink.com/content/u712vtp4122544x4 D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p ...ink.com/content/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae,
  7 KB (381 words) - 18:38, 30 July 2019
• Zooming equation
  D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p
  10 KB (1,627 words) - 18:26, 30 July 2019
• Ackermann function
  Holomorphic extension for [[tetration]] (to base e) had been reported only in 2009 http://www.ils.uec.ac.jp/~dima/PAPERS/2009analuxpRepri.pdf D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation
  10 KB (1,534 words) - 06:44, 20 July 2020
• Conjecture on superfunctions
  D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p
  7 KB (1,031 words) - 03:16, 12 May 2021
• Lof
  [[Lof]] (or [[lof]]) is analytic extension of function \(~z\! \mapsto\! \ln\!\big(\)[[Factorial]]\((z)\big)~\) , that
  3 KB (478 words) - 18:43, 30 July 2019
• Nemtsov function and its iterates
  D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation D.Kouznetsov. Holomorphic extension of the logistic sequence.
  15 KB (2,392 words) - 11:05, 20 July 2020
• Place of science
  The immanent impossibility of the analytic extension of [[tetration]] <ref> D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation
  101 KB (14,271 words) - 20:58, 25 September 2020
• Place of Science in the Human Knowledge
  ...d it for book “[[New Insights into Physical Science]]”. I suggest this extension here. D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation
  101 KB (14,846 words) - 00:35, 21 March 2023