Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 1998, Volume 189, Issue 12, Pages 1749–1764
DOI: https://doi.org/10.1070/sm1998v189n12ABEH000363 (Mi sm363) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Poincaré's theorem and its applications to the convergence of continued fractions

V. I. Buslaev

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (259 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1998v189n12ABEH000363
Abstract: A refined version of a classical theorem of Poincaré on difference equations with coefficients having limits is established. Applications include several results that are similar to well-known theorems of Van Vleck, Thron–Waadeland, and Perron, but are proved under considerably weaker assumptions.
Received: 24.03.1997
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 12, Pages 13–28
DOI: https://doi.org/10.4213/sm363
Bibliographic databases:
Document Type: Article
UDC: 517.524+517.929.2
MSC: Primary 39A10; Secondary 30B70
Language: English
Original paper language: Russian
Citation: V. I. Buslaev, “Poincaré's theorem and its applications to the convergence of continued fractions”, Sb. Math., 189:12 (1998), 1749–1764
Citation in format AMSBIB
\Bibitem{Bus98}
\by V.~I.~Buslaev
\paper Poincar\'e's theorem and its applications to the~convergence of continued fractions
\jour Sb. Math.
\yr 1998
\vol 189
\issue 12
\pages 1749--1764
\mathnet{http://mi.mathnet.ru//eng/sm363}
\crossref{https://doi.org/10.1070/sm1998v189n12ABEH000363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1686010}
\zmath{https://zbmath.org/?q=an:0936.39002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000080632300009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0032252557}
Linking options:
  • https://www.mathnet.ru/eng/sm363
  • https://doi.org/10.1070/sm1998v189n12ABEH000363
  • https://www.mathnet.ru/eng/sm/v189/i12/p13
    • This publication is cited in the following 9 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:540
    Russian version PDF:366
    English version PDF:20
    References:57
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024