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Sbornik: Mathematics, 2006, Volume 197, Issue 10, Pages 1405–1416
DOI: https://doi.org/10.1070/SM2006v197n10ABEH003804 (Mi sm1544) 		 
This article is cited in 8 scientific papers (total in 9 papers)

Singular points of meromorphic functions defined by their expansion in a $C$-fraction

A. A. Gonchar

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (258 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/SM2006v197n10ABEH003804
Abstract: Leighton's well-known conjecture about singular points of a meromorphic function defined by its expansion in a general $C$-fraction is discussed. A theorem proved in the paper yields, in particular, this conjecture for an arbitrary non-decreasing sequence of exponents $\alpha_k\to\infty$.
Bibliography: 7 titles.
Received: 26.12.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 10, Pages 3–14
DOI: https://doi.org/10.4213/sm1544
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 30D30, 30B70; Secondary 41A21
Language: English
Original paper language: Russian
Citation: A. A. Gonchar, “Singular points of meromorphic functions defined by their expansion in a $C$-fraction”, Mat. Sb., 197:10 (2006), 3–14; Sb. Math., 197:10 (2006), 1405–1416
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2006v197n10ABEH003804
  • https://www.mathnet.ru/eng/sm/v197/i10/p3
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:576
    Russian version PDF:266
    English version PDF:8
    References:40
    First page:10
     
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