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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 79, Issue 1, Pages 63–71
DOI: https://doi.org/10.1070/SM1994v079n01ABEH003489
(Mi sm987)
 

This article is cited in 1 scientific paper (total in 2 paper)

Transcendence of the values of $E$-functions that are solutions of second order linear differential equations

A. B. Shidlovskii

M. V. Lomonosov Moscow State University
References:
Abstract: The solution of the problem of transcendence of the values at algebraic points of $E$-functions that are solutions of second order homogeneous linear differential equations with coefficient in $\mathbb{C}(z)$ is completed in this article.
Received: 24.04.1992
Russian version:
Matematicheskii Sbornik, 1993, Volume 184, Number 5, Pages 75–84
Bibliographic databases:
UDC: 511
MSC: Primary 11J85, 11J81; Secondary 11J91, 11J82
Language: English
Original paper language: Russian
Citation: A. B. Shidlovskii, “Transcendence of the values of $E$-functions that are solutions of second order linear differential equations”, Mat. Sb., 184:5 (1993), 75–84; Russian Acad. Sci. Sb. Math., 79:1 (1994), 63–71
Citation in format AMSBIB
\Bibitem{Shi93}
\by A.~B.~Shidlovskii
\paper Transcendence of the~values of $E$-functions that are solutions of second order linear differential equations
\jour Mat. Sb.
\yr 1993
\vol 184
\issue 5
\pages 75--84
\mathnet{http://mi.mathnet.ru/sm987}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1239752}
\zmath{https://zbmath.org/?q=an:0816.11041}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 79
\issue 1
\pages 63--71
\crossref{https://doi.org/10.1070/SM1994v079n01ABEH003489}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PP19200005}
Linking options:
  • https://www.mathnet.ru/eng/sm987
  • https://doi.org/10.1070/SM1994v079n01ABEH003489
  • https://www.mathnet.ru/eng/sm/v184/i5/p75
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:330
    Russian version PDF:88
    English version PDF:15
    References:60
    First page:1
     
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