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Sbornik: Mathematics, 2015, Volume 206, Issue 2, Pages 201–210
DOI: https://doi.org/10.1070/SM2015v206n02ABEH004454 (Mi sm8263) 		 
On the disc of meromorphy of a regular $C$-fraction

V. S. Buyarov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.1070/SM2015v206n02ABEH004454
Abstract: We consider families of regular continued $C$-fractions with parameters determined by the values of a function on the orbit of a point in the phase space of a dynamical system. We prove that the radius of meromorphy of such a fraction is constant almost everywhere. Bounds for this constant are found.
Bibliography: 10 titles.
Keywords: power series, regular $C$-fraction, disc of meromorphy, stationary random process.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2900.2014.1
Received: 18.06.2013 and 13.11.2013
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 2, Pages 31–40
DOI: https://doi.org/10.4213/sm8263
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30B70, 30D30
Language: English
Original paper language: Russian
Citation: V. S. Buyarov, “On the disc of meromorphy of a regular $C$-fraction”, Mat. Sb., 206:2 (2015), 31–40; Sb. Math., 206:2 (2015), 201–210
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v206/i2/p31
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    Abstract page:539
    Russian version PDF:163
    English version PDF:36
    References:56
    First page:19
     
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