An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

Author:

Vinet LucORCID,Zhedanov Alexei

Abstract

Abstract A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties to an algebra called the meta-Jacobi algebra $m\mathfrak {J}$ .

Publisher

Cambridge University Press (CUP)

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems;Studies in Applied Mathematics;2023-05-31

2. An algebraic treatment of the Pastro polynomials on the real line;Proceedings of the American Mathematical Society;2023-05-25

3. Bispectrality and biorthogonality of the rational functions of q-Hahn type;Journal of Mathematical Analysis and Applications;2022-12

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