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Matematicheskie Zametki, 1973, Volume 13, Issue 1, Pages 29–40 (Mi mzm7101)  
This article is cited in 5 scientific papers (total in 5 papers)

The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations

V. Kh. Salikhov

M. V. Lomonosov Moscow State University, USSR
Full-text PDF (736 kB) Citations (5)
Abstract: In this paper we prove a general theorem on the algebraic independence of the values, at algebraic points, of a set of $E$-functions each of which satisfies a first-order linear differential equation with polynomial coefficients.
Received: 04.11.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 1, Pages 19–25
DOI: https://doi.org/10.1007/BF01093623
Bibliographic databases:
UDC: 511.8
Language: Russian
Citation: V. Kh. Salikhov, “The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations”, Mat. Zametki, 13:1 (1973), 29–40; Math. Notes, 13:1 (1973), 19–25
Citation in format AMSBIB
\Bibitem{Sal73}
\by V.~Kh.~Salikhov
\paper The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 1
\pages 29--40
\mathnet{http://mi.mathnet.ru/mzm7101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=316392}
\zmath{https://zbmath.org/?q=an:0263.10014}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 1
\pages 19--25
\crossref{https://doi.org/10.1007/BF01093623}
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  • https://www.mathnet.ru/eng/mzm/v13/i1/p29
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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