Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials

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摘要

We study the simplest closure conditions of chains of spectral transformations of the Laurent biorthogonal polynomials (LBP). It is shown that the 1-periodic q-closure condition leads to the q-Appel LBP which are a special case of the LBP introduced by Pastro.

论文关键词：Laurent orthogonal polynomials,q-Appel polynomials,Spectral transformations

论文评审过程：Received 23 June 1999, Revised 30 November 1999, Available online 29 May 2001.

论文官网地址：https://doi.org/10.1016/S0377-0427(00)00270-3