Abstract view
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Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials
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Published:2001-09-01
Printed: Sep 2001
Luc Vinet
Alexei Zhedanov
Abstract
We continue to study the simplest closure conditions for chains of
spectral transformations of the Laurent biorthogonal polynomials
($\LBP$). It is shown that the 1-1-periodic $q$-closure condition
leads to the $\LBP$ introduced by Pastro. We introduce classes of
semi-classical and Laguerre-Hahn $\LBP$ associated to generic closure
conditions of the chain of spectral transformations.
