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Analysis Mathematica, 2013, Volume 39, Issue 1, Pages 1–27
DOI: https://doi.org/10.1007/s10476-013-0101-7 (Mi analm4) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An estimate of the capacity of singular sets of functions that are defined by continued fractions

V. I. Buslaevab

a Moscow State University of Psychology and Education
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF Citations (5)
DOI: https://doi.org/10.1007/s10476-013-0101-7
URL: https://link.springer.com/article/10.1007%2Fs10476-013-0101-7
Abstract: We obtain representations of Hankel’s determinants of functions defined by continued fraction expansions, via the parameters of the fraction. As a corollary of these representations, we prove that functions defined by continued fraction expansions of a certain type cannot be (uniquely) meromorphic continued beyond the convergence domain.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00330
Ministry of Education and Science of the Russian Federation НШ-4664.2012.1
Received: 16.07.2011
Bibliographic databases:
Document Type: Article
Language: Russian
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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