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Matematicheskie Zametki, 1969, Volume 5, Issue 5, Pages 587–598 (Mi mzm6871)  
This article is cited in 13 scientific papers (total in 13 papers)

On the algebraic independence of the values of $E$-functions satisfying nonhomogeneous linear differential equations

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University
Full-text PDF (776 kB) Citations (13)
Abstract: We prove a theorem which reduces the investigation of the algebraic independence of solutions of linear nonhomogeneous systems of differential equations to the investigation of homogeneous systems. We use this theorem to prove the algebraic independence of the values of certain $E$-functions.
Received: 26.07.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 5, Pages 352–358
DOI: https://doi.org/10.1007/BF01112185
Bibliographic databases:
UDC: 511
Language: Russian
Citation: Yu. V. Nesterenko, “On the algebraic independence of the values of $E$-functions satisfying nonhomogeneous linear differential equations”, Mat. Zametki, 5:5 (1969), 587–598; Math. Notes, 5:5 (1969), 352–358
Citation in format AMSBIB
\Bibitem{Nes69}
\by Yu.~V.~Nesterenko
\paper On the algebraic independence of the values of $E$-functions satisfying nonhomogeneous linear differential equations
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 5
\pages 587--598
\mathnet{http://mi.mathnet.ru/mzm6871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=246824}
\zmath{https://zbmath.org/?q=an:0212.39401}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 5
\pages 352--358
\crossref{https://doi.org/10.1007/BF01112185}
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  • https://www.mathnet.ru/eng/mzm/v5/i5/p587
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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