CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Spectral Transformations of the Laurent Biorthogonal Polynomials, II. Pastro Polynomials

  Published:2001-09-01
 Printed: Sep 2001
  • Luc Vinet
  • Alexei Zhedanov
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

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.
Keywords: Laurent orthogonal polynomials, Pastro polynomials, spectral transformations Laurent orthogonal polynomials, Pastro polynomials, spectral transformations
MSC Classifications: 33D45 show english descriptions Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) 33D45 - Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/