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

Canadian mathematical bulletin

关键词: Laurent orthogonal polynomials;    Pastro polynomials;    spectral transformations;   

DOI  :  10.4153/CMB-2001-034-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We continue to study the simplest closure conditions for chains ofspectral transformations of the Laurent biorthogonal polynomials($LBP$). It is shown that the 1-1-periodic $q$-closure conditionleads 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.

【 授权许可】

Unknown