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

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DOI

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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     author = {Vinet, Luc and Zhedanov, Alexei},
     title = {Spectral {Transformations} of the {Laurent} {Biorthogonal} {Polynomials,} {II.} {Pastro} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {337--345},
     year = {2001},
     volume = {44},
     number = {3},
     doi = {10.4153/CMB-2001-034-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-034-3/}
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