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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6724https://doi.org/10.4213/tmf6724 https://www.mathnet.ru/eng/tmf/v169/i2/p229
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Abstract page: | 432 | Full-text PDF : | 191 | References: | 74 | First page: | 13 |
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