Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: All articles in the CMB digital archive with keyword spectral transformations

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2001 (vol 44 pp. 337)

Vinet, Luc; Zhedanov, Alexei
Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials
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.

Keywords:Laurent orthogonal polynomials, Pastro polynomials, spectral transformations

© Canadian Mathematical Society, 2015 :