Geodesic
Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 337-345

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2001-034-3
Mots-clés : 33D45, Laurent orthogonal polynomials, Pastro polynomials, spectral transformations 
Vinet, Luc; Zhedanov, Alexei. Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 337-345. doi: 10.4153/CMB-2001-034-3
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