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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 229–240
DOI: https://doi.org/10.4213/tmf6724 (Mi tmf6724) 		 
This article is cited in 4 scientific papers (total in 4 papers)

$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator

V. V. Borzova, E. V. Damaskinskyb

a Saint-Petersburg State University of Telecommunications, St. Petersburg, Russia
b Saint Petersburg Military Engineering-Technical University, St. Petersburg, Russia
Full-text PDF (428 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6724
Abstract: We continue to study a composite model of a generalized oscillator generated by an $N$-periodic Jacobi matrix. The foundation of the model is a system of orthogonal polynomials connected to this matrix for $N=3,4,5$. We show that such polynomials do not exist for $N\ge6$.
Keywords: generalized oscillator, Chebyshev polynomial, classical moment problem.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1561–1572
DOI: https://doi.org/10.1007/s11232-011-0133-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinsky, “$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator”, TMF, 169:2 (2011), 229–240; Theoret. and Math. Phys., 169:2 (2011), 1561–1572
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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