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Sbornik: Mathematics, 2019, Volume 210, Issue 11, Pages 1563–1580
DOI: https://doi.org/10.1070/SM9225 (Mi sm9225) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Schur's criterion for formal power series

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
English version PDF (491 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM9225
Abstract: A criterion for when a formal power series can be represented by a formal Schur continued fraction is stated. The proof proposed is based on a relationship, revealed here, between Hankel two-point determinants of a series and its Schur determinants.
Bibliography: 10 titles.
Keywords: continued fractions, Schur functions, Hankel determinants.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00764-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 18-01-00764-a).
Received: 28.01.2019 and 17.06.2019
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 11, Pages 58–75
DOI: https://doi.org/10.4213/sm9225
Bibliographic databases:
Document Type: Article
UDC: 517.538.22
MSC: 30B10, 30B70
Language: English
Original paper language: Russian
Citation: V. I. Buslaev, “Schur's criterion for formal power series”, Mat. Sb., 210:11 (2019), 58–75; Sb. Math., 210:11 (2019), 1563–1580
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v210/i11/p58
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:417
    Russian version PDF:51
    English version PDF:12
    References:32
    First page:17
     
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