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Sbornik: Mathematics, 2009, Volume 200, Issue 4, Pages 577–595
DOI: https://doi.org/10.1070/SM2009v200n04ABEH004010 (Mi sm7446) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Generalized Pollaczek polynomials

V. N. Sorokin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (339 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM2009v200n04ABEH004010
Abstract: For multiple orthogonal polynomials with respect to two Pollaczek weight functions weak asymptotics are obtained. It is shown that a solution of a vector equilibrium problem of the theory of logarithmic potential in the presence of an external field and with restriction imposed on the measures is given by the limit measure of the distribution of zeros.
Bibliography: 17 titles.
Keywords: Pollaczek polynomials, multiple orthogonal polynomials, vector equilibrium problem.
Received: 29.09.2008 and 26.01.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 4, Pages 113–130
DOI: https://doi.org/10.4213/sm7446
Bibliographic databases:
UDC: 517.53
MSC: 42C05
Language: English
Original paper language: Russian
Citation: V. N. Sorokin, “Generalized Pollaczek polynomials”, Mat. Sb., 200:4 (2009), 113–130; Sb. Math., 200:4 (2009), 577–595
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i4/p113
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:286
    English version PDF:19
    References:100
    First page:24
     
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