Publication: On co-polynomials on the real line
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Publication date
2015-07-01
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Elsevier
Abstract
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.
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Keywords
Orthogonal polynomials on the real line, Co-polynomials on the real line, Zeros, Transfer matrices
Bibliographic citation
Journal of Mathematical Analysis and Applications, 2015, v. 427, Issue 1, pp. 469-483