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Sbornik: Mathematics, 2010, Volume 201, Issue 10, Pages 1539–1561
DOI: https://doi.org/10.1070/SM2010v201n10ABEH004121 (Mi sm7672) 		 
This article is cited in 28 scientific papers (total in 28 papers)

On multiple orthogonal polynomials for discrete Meixner measures

V. N. Sorokin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (392 kB) Citations (28) Russian version article
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DOI: https://doi.org/10.1070/SM2010v201n10ABEH004121
Abstract: The paper examines two examples of multiple orthogonal polynomials generalizing orthogonal polynomials of a discrete variable, meaning thereby the Meixner polynomials. One example is bound up with a discrete Nikishin system, and the other leads to essentially new effects. The limit distribution of the zeros of polynomials is obtained in terms of logarithmic equilibrium potentials and in terms of algebraic curves.
Bibliography: 9 titles.
Keywords: Meixner polynomials, Nikishin systems, Riemann surfaces and algebraic functions, logarithmic equilibrium potentials.
Received: 21.12.2009 and 12.04.2010
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 42C05
Language: English
Original paper language: Russian
Citation: V. N. Sorokin, “On multiple orthogonal polynomials for discrete Meixner measures”, Sb. Math., 201:10 (2010), 1539–1561
Citation in format AMSBIB
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\paper On multiple orthogonal polynomials for discrete Meixner measures
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  • https://doi.org/10.1070/SM2010v201n10ABEH004121
  • https://www.mathnet.ru/eng/sm/v201/i10/p137
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:934
    Russian version PDF:296
    English version PDF:126
    References:124
    First page:11
     
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