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N-symmetric Chebyshev polynomials in a composite model of a generalized oscillator |
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| Authors: | V. V. Borzov E. V. Damaskinsky |
| Affiliation: | 1. Bonch-Bruevich Saint-Petersburg State University of Telecommunications, St. Petersburg, Russia 2. 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 ?? 6. |
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