Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 2005, Volume 78, Issue 3, Pages 331–348
DOI: https://doi.org/10.4213/mzm2591
(Mi mzm2591)
 

This article is cited in 6 scientific papers (total in 6 papers)

On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)
Full-text PDF (252 kB) Citations (6)
References:
Abstract: We prove a special case of Siegel's conjecture concerning the representability of $E$-functions in the form of polynomials in hypergeometric functions. We prove several assertions (formulated earlier by A. B. Shidlovskii) about the transcendence and linear independence of values of $E$-functions.
Received: 03.06.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 3, Pages 304–319
DOI: https://doi.org/10.1007/s11006-005-0130-z
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: V. A. Gorelov, “On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order”, Mat. Zametki, 78:3 (2005), 331–348; Math. Notes, 78:3 (2005), 304–319
Citation in format AMSBIB
\Bibitem{Gor05}
\by V.~A.~Gorelov
\paper On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order
\jour Mat. Zametki
\yr 2005
\vol 78
\issue 3
\pages 331--348
\mathnet{http://mi.mathnet.ru/mzm2591}
\crossref{https://doi.org/10.4213/mzm2591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2227507}
\zmath{https://zbmath.org/?q=an:1112.33013}
\elib{https://elibrary.ru/item.asp?id=9173106}
\transl
\jour Math. Notes
\yr 2005
\vol 78
\issue 3
\pages 304--319
\crossref{https://doi.org/10.1007/s11006-005-0130-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000233144200002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27144520841}
Linking options:
  • https://www.mathnet.ru/eng/mzm2591
  • https://doi.org/10.4213/mzm2591
  • https://www.mathnet.ru/eng/mzm/v78/i3/p331
  • 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
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:316
    Full-text PDF :187
    References:50
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024