RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vladikavkaz. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vladikavkaz. Mat. Zh., 2010, Volume 12, Number 2, Pages 31–45 (Mi vmj10)  

This article is cited in 4 scientific papers (total in 4 papers)

Tetrational as special function

D. Yu. Kuznetsov

Institute for Laser Science, University of Electro-Communications, Tokyo, Japan

Abstract: Holomorphic tetrational (superexponential) to the base $e$ and its inverse function (arctetrational) are approximated with elementary functions.

Key words: tetrational, superfunction, Abel equation, Abel function, holomorphic extension, analytic continuation, numerical implementation, special functions, Taylor expansion, superexponential, arctetrational, superlogarithm, non-integer iteration.

Full text: PDF file (1381 kB)
References: PDF file   HTML file
UDC: 519.688, 517.18
Received: 16.02.2009

Citation: D. Yu. Kuznetsov, “Tetrational as special function”, Vladikavkaz. Mat. Zh., 12:2 (2010), 31–45

Citation in format AMSBIB
\Bibitem{Kuz10}
\by D.~Yu.~Kuznetsov
\paper Tetrational as special function
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 2
\pages 31--45
\mathnet{http://mi.mathnet.ru/vmj10}


Linking options:
  • http://mi.mathnet.ru/eng/vmj10
  • http://mi.mathnet.ru/eng/vmj/v12/i2/p31

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Kouznetsov D.Yu., “Holomorphic extension of the logistic sequence”, Moscow University Physics Bulletin, 65:2 (2010), 91–98  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Kouznetsov D., Trappmann H., “Superfunctions and sqrt of factorial”, Moscow University Physics Bulletin, 65:1 (2010), 6–12  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  scopus
    3. Trappmann H., Kouznetsov D., “Computation of the Two Regular Super-Exponentials to Base Exp(1/E)”, Math. Comput., 81:280 (2012), 2207–2227  crossref  mathscinet  zmath  isi  scopus
    4. Paulsen W., Cowgill S., “Solving F(Z+1) = B (F(Z)) in the Complex Plane”, Adv. Comput. Math., 43:6 (2017), 1261–1282  crossref  mathscinet  zmath  isi  scopus
  • Владикавказский математический журнал
    Number of views:
    This page:494
    Full text:215
    References:38
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021