Ladder operators for Szegő polynomials and related biorthogonal rational functions

1994/06/30 by Mourad E. H. Ismail, Mizan Rahman, Ismail, Mourad E. H. +1
Mathematics · #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.math/9406227

openalex publication_date 1994/06/30 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

We find the raising and lowering operators for orthogonal polynomials on the unit circle introduced by Szegő and for their four parameter generalization to ₄ϕ₃ biorthogonal rational functions on the unit circle.

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