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Sbornik: Mathematics, 2019, Volume 210, Issue 12, Pages 1774–1787
DOI: https://doi.org/10.1070/SM9146
(Mi sm9146)
 

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

Analytic complexity of differential algebraic functions

M. A. Stepanova

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
References:
Abstract: Examples of differential algebraic functions with infinite analytic complexity are constructed. The fact of their existence implies that the class of differential algebraic functions is wider than the class of functions with finite complexity.
Bibliography: 6 titles.
Keywords: analytic complexity, differential algebraic functions.
Received: 06.07.2018 and 26.05.2019
Bibliographic databases:
Document Type: Article
UDC: 517.55+512.628.2+517.589
MSC: Primary 32A10; Secondary 35A09
Language: English
Original paper language: Russian
Citation: M. A. Stepanova, “Analytic complexity of differential algebraic functions”, Sb. Math., 210:12 (2019), 1774–1787
Citation in format AMSBIB
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\by M.~A.~Stepanova
\paper Analytic complexity of differential algebraic functions
\jour Sb. Math.
\yr 2019
\vol 210
\issue 12
\pages 1774--1787
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Linking options:
  • https://www.mathnet.ru/eng/sm9146
  • https://doi.org/10.1070/SM9146
  • https://www.mathnet.ru/eng/sm/v210/i12/p120
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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