V. V. Borzov, E. V. Damaskinsky, “<nobr>$N$</nobr>-symmetric Chebyshev polynomials in a composite model of a generalized oscillator”, TMF, 2011, Volume 169, Number 2,Pages <nobr>229

This article is cited in 4 papers

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

V. V. Borzov^a, E. V. Damaskinsky^b

^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

DOI: 10.4213/tmf6724