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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) Russian version article
References:
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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
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
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\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
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:552
    Russian version PDF:367
    English version PDF:21
    References:58
    First page:1
     
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