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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 25 scientific papers (total in 25 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 (25)
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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
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 10, Pages 137–160
DOI: https://doi.org/10.4213/sm7672
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”, Mat. Sb., 201:10 (2010), 137–160; Sb. Math., 201:10 (2010), 1539–1561
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v201/i10/p137
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:697
    Russian version PDF:245
    English version PDF:45
    References:94
    First page:11
     
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