期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 427, 期 1, 页码 469-483出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.02.063
关键词
Orthogonal polynomials on the real line; Co-polynomials on the real line; Zeros; Transfer matrices
资金
- Portuguese Government through the Fundacao para a Ciencia e a Tecnologia (FCT) [SFRH/BPD/101139/2014]
- Brazilian Government through the CNPq [470019/2013-1]
- Direccion General de Investigacion Cientifica y Tecnica, Ministerio de Economia y Competitividad of Spain [MTM2012-36732-C03-01]
- Brazilian Government through the CAPES [107/2012]
In this paper, we study new algebraic and analytic aspects of orthogonal polynomials on the real line when finite modifications of the recurrence coefficients, the so-called co-polynomials on the real line, are considered. We investigate the behavior of their zeros, mainly interlacing and monotonicity properties. Furthermore, using a transfer matrix approach we obtain new structural relations, combining theoretical and computational advantages. Finally, a connection with the theory of orthogonal polynomials on the unit circle is pointed out. (C) 2015 Elsevier Inc. All rights reserved.
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