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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 6, Pages 680–685
DOI: https://doi.org/10.17516/1997-1397-2018-11-6-680-685 (Mi jsfu713) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Decomposition of functions of finite analytical complexity

Valery K. Beloshapka

Faculty of Mechanics and Mathematics, Moscow State University, Vorob'evy Gory, Moscow, 119991, Russia
Full-text PDF (100 kB) Citations (7)
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DOI: https://doi.org/10.17516/1997-1397-2018-11-6-680-685
Abstract: Functions of two variables can be obtained from functions of one variable by substitutions and additions. Each composition scheme corresponds to a class of functions of two variables, such that they can be represented as a composition with this scheme. It was shown that each class consists of analytical solutions of a certain system of differential polynomials (equations of the class). The paper describes an algorithm for constructing a system of equations of the scheme and for obtaining function representation in the form of a composition with this scheme.
Keywords: decomposition scheme, representation of the functions.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41011_Uzb_t
17-01-00592_A
The research was supported by RFBR grants 17-01-00592 A and 18-51-41011 Uzb t.
Received: 07.07.2018
Received in revised form: 01.08.2018
Accepted: 06.10.2018
Bibliographic databases:
Document Type: Article
UDC: 517.55, 517.923, 514.74
Language: English
Citation: Valery K. Beloshapka, “Decomposition of functions of finite analytical complexity”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018), 680–685
Citation in format AMSBIB
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\by Valery~K.~Beloshapka
\paper Decomposition of functions of finite analytical complexity
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 6
\pages 680--685
\mathnet{http://mi.mathnet.ru/jsfu713}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-6-680-685}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000452216700003}
Linking options:
  • https://www.mathnet.ru/eng/jsfu713
  • https://www.mathnet.ru/eng/jsfu/v11/i6/p680
    • This publication is cited in the following 7 articles:
    1. V.K. Beloshapka, “Analytical Complexity and Signal Coding”, Russ. J. Math. Phys., 31:1 (2024), 44  crossref
    2. V. K. Beloshapka, “Analytic Complexity: Functions with One-Dimensional Stabilizer in the Gauge Group”, Math. Notes, 115:5 (2024), 683–691  mathnet  crossref  crossref  mathscinet
    3. V. K. Beloshapka, “Geometric constructions in the theory of analytic complexity”, Izv. Math., 88:3 (2024), 411–418  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Maria A. Stepanova, “Preorder on the set of analytic functions”, Zhurn. SFU. Ser. Matem. i fiz., 16:5 (2023), 681–689  mathnet  mathscinet
    5. Valery K. Beloshapka, “On integration of functions of complexity one”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 496–502  mathnet  crossref
    6. Maria A. Stepanova, “On analytical complexity of antiderivatives”, Zhurn. SFU. Ser. Matem. i fiz., 12:6 (2019), 694–698  mathnet  crossref  mathscinet
    7. M. A. Stepanova, “Analytic complexity of differential algebraic functions”, Sb. Math., 210:12 (2019), 1774–1787  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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