Geodesic
$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 229-240 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {V. V. Borzov and E. V. Damaskinsky},
     title = {$N$-symmetric {Chebyshev} polynomials in a~composite model of a~generalized oscillator},
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V. V. Borzov; E. V. Damaskinsky. $N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 2, pp. 229-240. http://geodesic.mathdoc.fr/item/TMF_2011_169_2_a4/

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