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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
English version PDF (467 kB) Citations (4)
References:
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DOI: https://doi.org/10.1070/SM9146
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
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 12, Pages 120–135
DOI: https://doi.org/10.4213/sm9146
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”, Mat. Sb., 210:12 (2019), 120–135; Sb. Math., 210:12 (2019), 1774–1787
Citation in format AMSBIB
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  • 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
    		Математический сборник Sbornik: Mathematics
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    Abstract page:291
    Russian version PDF:31
    English version PDF:17
    References:25
    First page:16
     
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