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Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials
Published online by Cambridge University Press: 20 November 2018
Abstract
We continue to study the simplest closure conditions for chains of spectral transformations of the Laurent biorthogonal polynomials $\left( \text{LBP} \right)$. It is shown that the 1-1-periodic $q$-closure condition leads to the $\text{LBP}$ introduced by Pastro. We introduce classes of semi-classical and Laguerre-Hahn $\text{LBP}$ associated to generic closure conditions of the chain of spectral transformations.
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- Copyright © Canadian Mathematical Society 2001
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