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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 1, Pages 61–87
DOI: https://doi.org/10.1070/IM1968v002n01ABEH000631 (Mi im2693) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the transcendence and algebraic independence of the values of certain entire functions

V. A. Oleinikov
English version PDF (1282 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM1968v002n01ABEH000631
Abstract: In this paper we establish a criterion for the differential irreducibility of a general algebraic differential equation. We apply the results that are obtained to prove the transcendence and algebraic independence of the values at algebraic points of a collection of $E$-functions satisfying linear differential equations with polynomial coefficients.
Received: 23.07.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 1, Pages 63–92
Bibliographic databases:
UDC: 517.3
MSC: 35Exx, 35R15, 32J25, 33C60
Language: English
Original paper language: Russian
Citation: V. A. Oleinikov, “On the transcendence and algebraic independence of the values of certain entire functions”, Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968), 63–92; Math. USSR-Izv., 2:1 (1968), 61–87
Citation in format AMSBIB
\Bibitem{Ole68}
\by V.~A.~Oleinikov
\paper On the transcendence and algebraic independence of the values of certain entire functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 1
\pages 63--92
\mathnet{http://mi.mathnet.ru/im2693}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=222033}
\zmath{https://zbmath.org/?q=an:0212.39203}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 1
\pages 61--87
\crossref{https://doi.org/10.1070/IM1968v002n01ABEH000631}
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  • https://www.mathnet.ru/eng/im/v32/i1/p63
    • This publication is cited in the following 6 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
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    Abstract page:253
    Russian version PDF:88
    English version PDF:5
    References:36
    First page:1
     
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