Discrete Spectrum of the Jacobi Matrix Related to Recurrence Relations with Periodic Coefficients
- 作者: Borzov V.1, Damaskinsky E.2
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隶属关系:
- St.Petersburg University of Telecommunications
- St.Petersburg Military Engineering-Technical University
- 期: 卷 213, 编号 5 (2016)
- 页面: 694-705
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237230
- DOI: https://doi.org/10.1007/s10958-016-2732-2
- ID: 237230
如何引用文章
详细
In this note, we study the discrete spectrum of the Jacobi matrix corresponding to polynomials defined by recurrence relations with periodic coefficients. As examples, we consider
(a) the case where the period N of coefficients of recurrence relations equals 3 (as a particular case, we consider “parametric” Chebyshev polynomials introduced by the authors earlier);
(b) elementary N-symmetric Chebyshev polynomials (N = 3, 4, 5), which were introduced by the authors in the study of the “composite model of a generalized oscillator.”
作者简介
V. Borzov
St.Petersburg University of Telecommunications
编辑信件的主要联系方式.
Email: borzov.vadim@yandex.ru
俄罗斯联邦, St.Petersburg
E. Damaskinsky
St.Petersburg Military Engineering-Technical University
Email: borzov.vadim@yandex.ru
俄罗斯联邦, St.Petersburg