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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 165–189
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001287 (Mi im1642) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On differential irreducibility of a class of differential equations

V. Kh. Salikhov
English version PDF (901 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001287
Abstract: In this paper a method is developed for proving algebraic independence of the solutions of linear differential equations. The result is applied to prove algebraic independence of the values at an algebraic point of a class of $E$-functions.
Bibliography: 9 titles.
Received: 21.02.1979
Bibliographic databases:
UDC: 511.8
MSC: Primary 34A30, 10F35; Secondary 30B40
Language: English
Original paper language: Russian
Citation: V. Kh. Salikhov, “On differential irreducibility of a class of differential equations”, Math. USSR-Izv., 16:1 (1981), 165–189
Citation in format AMSBIB
\Bibitem{Sal80}
\by V.~Kh.~Salikhov
\paper On differential irreducibility of a~class of differential equations
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 165--189
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\crossref{https://doi.org/10.1070/IM1981v016n01ABEH001287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=563791}
\zmath{https://zbmath.org/?q=an:0463.10026|0452.12010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LP24600009}
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  • https://doi.org/10.1070/IM1981v016n01ABEH001287
  • https://www.mathnet.ru/eng/im/v44/i1/p176
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:269
    Russian version PDF:76
    English version PDF:10
    References:30
    First page:1
     
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